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

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

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

Reorder the terms:
2(1 + 5x) + -3(2x + -2) = 3(x + 2)
(1 * 2 + 5x * 2) + -3(2x + -2) = 3(x + 2)
(2 + 10x) + -3(2x + -2) = 3(x + 2)

Reorder the terms:
2 + 10x + -3(-2 + 2x) = 3(x + 2)
2 + 10x + (-2 * -3 + 2x * -3) = 3(x + 2)
2 + 10x + (6 + -6x) = 3(x + 2)

Reorder the terms:
2 + 6 + 10x + -6x = 3(x + 2)

Combine like terms: 2 + 6 = 8
8 + 10x + -6x = 3(x + 2)

Combine like terms: 10x + -6x = 4x
8 + 4x = 3(x + 2)

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

Solving
8 + 4x = 6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
8 + 4x + -3x = 6 + 3x + -3x

Combine like terms: 4x + -3x = 1x
8 + 1x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + 1x = 6 + 0
8 + 1x = 6

Add '-8' to each side of the equation.
8 + -8 + 1x = 6 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = 6 + -8
1x = 6 + -8

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

Divide each side by '1'.
x = -2

Simplifying
x = -2