Question

1) — 5(х+1) = -2(5х – 5)2) 7(x - 2) = 2 - x3) 3х + 15 = — 4(x — 2)4) — 6 + 2x = 6(x+7)​

Answer 1

Ответ:

$- 5(x + 1) = - 2(5x - 5) \\ - 5x - 5 = - 10x + 10 \\ - 5x + 10x = 10 + 5 \\ 5x = 15 \\ x = 15 \div 5 \\ x = 3$

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$7(x - 2) = 2 - x \\ 7x - 14 = 2 - x \\ 7x + x = 2 + 14 \\ 8x = 16 \\ x = 16 \div 8 \\ x = 2$

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$3x + 15 = - 4(x - 2) \\ 3x + 15 = - 4x + 8 \\ 3x + 4x = 8 - 15 \\ 7x = - 7 \\ x = - 7 \div 7 \\ x = - 1$

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$- 6 + 2x = 6(x + 7) \\ - 6 + 2x = 6x + 42 \\ 2x - 6x = 42 + 6 \\ - 4x = 48 \\ x = 48 \div ( - 4) \\ x = - 12$

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Answer 2

Sure, let's solve these equations step by step:

1. $-5(x+1) = -2(5x-5)$

Expand both sides:

$-5x - 5 = -10x + 10$

Move $-5x$ to the right side:

$5x = 5 + 10$

Combine like terms:

$5x = 15$

Divide by 5:

$x = 3$

2. $7(x - 2) = 2 - x$

Distribute on the left side:

$7x - 14 = 2 - x$

Move $-x$ to the left side and $-14$ to the right side:

$8x = 16$

Divide by 8:

$x = 2$

3. $3x + 15 = -4(x - 2)$

Distribute on the right side:

$3x + 15 = -4x + 8$

Move $-4x$ to the left side and 15 to the right side:

$7x = -7$

Divide by 7:

$x = -1$

4. $-6 + 2x = 6(x + 7)$

Distribute on the right side:

$-6 + 2x = 6x + 42$

Move $2x$ to the right side:

$42 = 4x - 6$

Add 6 to both sides:

$48 = 4x$

Divide by 4:

$x = 12$

So, the solutions are:

1. $x = 3$
2. $x = 2$
3. $x = -1$
4. $x = 12$