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

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


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

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

Reorder the terms:
6 + -4 + 3x + -5x = 2x + -2

Combine like terms: 6 + -4 = 2
2 + 3x + -5x = 2x + -2

Combine like terms: 3x + -5x = -2x
2 + -2x = 2x + -2

Reorder the terms:
2 + -2x = -2 + 2x

Solving
2 + -2x = -2 + 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.
2 + -2x + -2x = -2 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
2 + -4x = -2 + 0
2 + -4x = -2

Add '-2' to each side of the equation.
2 + -2 + -4x = -2 + -2

Combine like terms: 2 + -2 = 0
0 + -4x = -2 + -2
-4x = -2 + -2

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

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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