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

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

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

Reorder the terms:
3(2 + 5x) + -1x = 2(x + -2) + -2
(2 * 3 + 5x * 3) + -1x = 2(x + -2) + -2
(6 + 15x) + -1x = 2(x + -2) + -2

Combine like terms: 15x + -1x = 14x
6 + 14x = 2(x + -2) + -2

Reorder the terms:
6 + 14x = 2(-2 + x) + -2
6 + 14x = (-2 * 2 + x * 2) + -2
6 + 14x = (-4 + 2x) + -2

Reorder the terms:
6 + 14x = -4 + -2 + 2x

Combine like terms: -4 + -2 = -6
6 + 14x = -6 + 2x

Solving
6 + 14x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + 14x + -2x = -6 + 2x + -2x

Combine like terms: 14x + -2x = 12x
6 + 12x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 12x = -6 + 0
6 + 12x = -6

Add '-6' to each side of the equation.
6 + -6 + 12x = -6 + -6

Combine like terms: 6 + -6 = 0
0 + 12x = -6 + -6
12x = -6 + -6

Combine like terms: -6 + -6 = -12
12x = -12

Divide each side by '12'.
x = -1

Simplifying
x = -1