6+2(4x-5)=5-5(2x+1)

Solution for 6+2(4x-5)=5-5(2x+1) equation:

Simplifying
6 + 2(4x + -5) = 5 + -5(2x + 1)

Reorder the terms:
6 + 2(-5 + 4x) = 5 + -5(2x + 1)
6 + (-5 * 2 + 4x * 2) = 5 + -5(2x + 1)
6 + (-10 + 8x) = 5 + -5(2x + 1)

Combine like terms: 6 + -10 = -4
-4 + 8x = 5 + -5(2x + 1)

Reorder the terms:
-4 + 8x = 5 + -5(1 + 2x)
-4 + 8x = 5 + (1 * -5 + 2x * -5)
-4 + 8x = 5 + (-5 + -10x)

Combine like terms: 5 + -5 = 0
-4 + 8x = 0 + -10x
-4 + 8x = -10x

Solving
-4 + 8x = -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.
-4 + 8x + 10x = -10x + 10x

Combine like terms: 8x + 10x = 18x
-4 + 18x = -10x + 10x

Combine like terms: -10x + 10x = 0
-4 + 18x = 0

Add '4' to each side of the equation.
-4 + 4 + 18x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 18x = 0 + 4
18x = 0 + 4

Combine like terms: 0 + 4 = 4
18x = 4

Divide each side by '18'.
x = 0.2222222222

Simplifying
x = 0.2222222222