Evaluate: 2-2(3x-5)+8x=2(-5x-7)+2x-4

Expression: $2-2\left( 3x-5 \right)+8x=2\left( -5x-7 \right)+2x-4$

Distribute $-2$ through the parentheses

$2-6x+10+8x=2\left( -5x-7 \right)+2x-4$

Distribute $2$ through the parentheses

$2-6x+10+8x=-10x-14+2x-4$

Add the numbers

$12-6x+8x=-10x-14+2x-4$

Collect like terms

$12+2x=-10x-14+2x-4$

Collect like terms

$12+2x=-8x-14-4$

Calculate the difference

$12+2x=-8x-18$

Move the variable to the left-hand side and change its sign

$12+2x+8x=-18$

Move the constant to the right-hand side and change its sign

$2x+8x=-18-12$

Collect like terms

$10x=-18-12$

Calculate the difference

$10x=-30$

Divide both sides of the equation by $10$

$x=-3$