3x+3=2(-2x-2)+8x

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Solution for 3x+3=2(-2x-2)+8x equation:


Simplifying
3x + 3 = 2(-2x + -2) + 8x

Reorder the terms:
3 + 3x = 2(-2x + -2) + 8x

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

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

Solving
3 + 3x = -4 + 4x

Solving for variable 'x'.

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

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

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

Combine like terms: 4x + -4x = 0
3 + -1x = -4 + 0
3 + -1x = -4

Add '-3' to each side of the equation.
3 + -3 + -1x = -4 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = -4 + -3
-1x = -4 + -3

Combine like terms: -4 + -3 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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