Question

1) 20-6x=8x-6 2) 0.4(4x+1)=5.6-3(2-0.4x) 3) (x-3)/5=(x+2)/3

Answer 1

Ответ:

На фотографии есть все

Answer 2

Sure, I can help you solve these equations step by step:

1. $20 - 6x = 8x - 6$

First, let's simplify the equation by adding $6x$ to both sides:

$20 - 6x + 6x = 8x - 6 + 6x$

$20 = 14x - 6$

Now, add 6 to both sides to isolate the variable $x$:

$20 + 6 = 14x - 6 + 6$

$26 = 14x$

Finally, divide both sides by 14 to solve for $x$:

$x = \frac{26}{14}$

Simplify the fraction:

$x = \frac{13}{7}$

2. $0.4(4x + 1) = 5.6 - 3(2 - 0.4x)$

First, distribute the values inside the parentheses:

$1.6x + 0.4 = 5.6 - 6 + 1.2x$

Combine like terms on the right side:

$1.6x + 0.4 = -0.4 + 1.2x$

Subtract $1.2x$ from both sides:

$1.6x - 1.2x + 0.4 = -0.4$

$0.4x + 0.4 = -0.4$

Now, subtract 0.4 from both sides:

$0.4x + 0.4 - 0.4 = -0.4 - 0.4$

$0.4x = -0.8$

Finally, divide both sides by 0.4 to solve for $x$:

$x = \frac{-0.8}{0.4}$

Simplify the division:

$x = -2$

3. $\frac{x - 3}{5} = \frac{x + 2}{3}$

Cross-multiply to eliminate the fractions:

$3(x - 3) = 5(x + 2)$

Distribute on both sides:

$3x - 9 = 5x + 10$

Subtract $3x$ from both sides:

$3x - 3x - 9 = 5x - 3x + 10$

$-9 = 2x + 10$

Subtract 10 from both sides:

$-9 - 10 = 2x + 10 - 10$

$-19 = 2x$

Finally, divide both sides by 2 to solve for $x$:

$x = \frac{-19}{2}$

Simplify the fraction:

$x = -\frac{19}{2}$