3x-2(x-2)=-2+3x+10

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Solution for 3x-2(x-2)=-2+3x+10 equation:


Simplifying
3x + -2(x + -2) = -2 + 3x + 10

Reorder the terms:
3x + -2(-2 + x) = -2 + 3x + 10
3x + (-2 * -2 + x * -2) = -2 + 3x + 10
3x + (4 + -2x) = -2 + 3x + 10

Reorder the terms:
4 + 3x + -2x = -2 + 3x + 10

Combine like terms: 3x + -2x = 1x
4 + 1x = -2 + 3x + 10

Reorder the terms:
4 + 1x = -2 + 10 + 3x

Combine like terms: -2 + 10 = 8
4 + 1x = 8 + 3x

Solving
4 + 1x = 8 + 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.
4 + 1x + -3x = 8 + 3x + -3x

Combine like terms: 1x + -3x = -2x
4 + -2x = 8 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + -2x = 8 + 0
4 + -2x = 8

Add '-4' to each side of the equation.
4 + -4 + -2x = 8 + -4

Combine like terms: 4 + -4 = 0
0 + -2x = 8 + -4
-2x = 8 + -4

Combine like terms: 8 + -4 = 4
-2x = 4

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

Simplifying
x = -2

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