2+2(3x-4)=5-5(2x+1)

Solution for 2+2(3x-4)=5-5(2x+1) equation:

Simplifying
2 + 2(3x + -4) = 5 + -5(2x + 1)

Reorder the terms:
2 + 2(-4 + 3x) = 5 + -5(2x + 1)
2 + (-4 * 2 + 3x * 2) = 5 + -5(2x + 1)
2 + (-8 + 6x) = 5 + -5(2x + 1)

Combine like terms: 2 + -8 = -6
-6 + 6x = 5 + -5(2x + 1)

Reorder the terms:
-6 + 6x = 5 + -5(1 + 2x)
-6 + 6x = 5 + (1 * -5 + 2x * -5)
-6 + 6x = 5 + (-5 + -10x)

Combine like terms: 5 + -5 = 0
-6 + 6x = 0 + -10x
-6 + 6x = -10x

Solving
-6 + 6x = -10x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '10x' to each side of the equation.
-6 + 6x + 10x = -10x + 10x

Combine like terms: 6x + 10x = 16x
-6 + 16x = -10x + 10x

Combine like terms: -10x + 10x = 0
-6 + 16x = 0

Add '6' to each side of the equation.
-6 + 6 + 16x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 16x = 0 + 6
16x = 0 + 6

Combine like terms: 0 + 6 = 6
16x = 6

Divide each side by '16'.
x = 0.375

Simplifying
x = 0.375