Question

1. 7(2х + 3) = 12х + 11 2. 7(-4 + х) + 3х = 4 3. 2(х + 7) – 9 = -2х 4. -3 (5 – х) = 11 + 2х 5.4( х – 1) = 8 – 2х 6. 2х – 3 + 2(х - 1) = 3(х – 3) - 2 7. 9х – 7(-10 - 3х) = -10+(х -7) ​

Answer 1

1. х=5

2 .х=16_5

3. х 5_4

4 .4-х

6. х3_4у 3_2у €₽

7. х= 67_29

Answer 2

Let's solve each of these equations step by step:

1. $7(2x + 3) = 12x + 11$: First, distribute 7 on the left side: $14x + 21 = 12x + 11$

   Now, subtract $12x$ from both sides of the equation: $14x - 12x + 21 = 11$

   Simplify: $2x + 21 = 11$

   Next, subtract 21 from both sides: $2x = 11 - 21$

   $2x = -10$

   Finally, divide both sides by 2 to solve for $x$: $x = -10 / 2$

   $x = -5$

2. $7(-4 + x) + 3x = 4$: First, distribute 7 on the left side: $-28 + 7x + 3x = 4$

   Combine like terms on the left side: $10x - 28 = 4$

   Now, add 28 to both sides: $10x = 4 + 28$

   $10x = 32$

   Finally, divide both sides by 10 to solve for $x$: $x = 32 / 10$

   $x = 3.2$

3. $2(x + 7) - 9 = -2x$: First, distribute 2 on the left side: $2x + 14 - 9 = -2x$

   Combine like terms on the left side: $2x + 5 = -2x$

   Now, add $2x$ to both sides: $2x + 2x + 5 = 0$

   $4x + 5 = 0$

   Next, subtract 5 from both sides: $4x = -5$

   Finally, divide both sides by 4 to solve for $x$: $x = -5 / 4$

4. $-3(5 - x) = 11 + 2x$: First, distribute -3 on the left side: $-15 + 3x = 11 + 2x$

   Now, subtract 2x from both sides: $-15 + 3x - 2x = 11$

   Combine like terms on the left side: $x - 15 = 11$

   Add 15 to both sides: $x - 15 + 15 = 11 + 15$

   $x = 26$

5. $4(x - 1) = 8 - 2x$: First, distribute 4 on the left side: $4x - 4 = 8 - 2x$

   Now, add 2x to both sides: $4x + 2x - 4 = 8$

   Combine like terms on the left side: $6x - 4 = 8$

   Add 4 to both sides: $6x - 4 + 4 = 8 + 4$

   $6x = 12$

   Finally, divide both sides by 6 to solve for $x$: $x = 12 / 6$

   $x = 2$

6. $2x - 3 + 2(x - 1) = 3(x - 3) - 2$: First, distribute 2 on the left side and 3 on the right side: $2x - 3 + 2x - 2 = 3x - 9 - 2$

   Combine like terms on both sides: $4x - 5 = 3x - 11$

   Now, subtract $3x$ from both sides: $4x - 3x - 5 = -11$

   Combine like terms on the left side: $x - 5 = -11$

   Add 5 to both sides: $x - 5 + 5 = -11 + 5$

   $x = -6$

7. $9x - 7(-10 - 3x) = -10 + (x - 7)$: First, distribute -7 on the left side and simplify the right side: $9x + 70 + 21x = -10 + x - 7$

   Combine like terms on both sides: $30x + 70 = x - 17$

   Now, subtract $x$ from both sides: $30x - x + 70 = -17$

   Combine like terms on the left side: $29x + 70 = -17<$