3(x-2)-2=-2x+7

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Solution for 3(x-2)-2=-2x+7 equation:


Simplifying
3(x + -2) + -2 = -2x + 7

Reorder the terms:
3(-2 + x) + -2 = -2x + 7
(-2 * 3 + x * 3) + -2 = -2x + 7
(-6 + 3x) + -2 = -2x + 7

Reorder the terms:
-6 + -2 + 3x = -2x + 7

Combine like terms: -6 + -2 = -8
-8 + 3x = -2x + 7

Reorder the terms:
-8 + 3x = 7 + -2x

Solving
-8 + 3x = 7 + -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.
-8 + 3x + 2x = 7 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-8 + 5x = 7 + -2x + 2x

Combine like terms: -2x + 2x = 0
-8 + 5x = 7 + 0
-8 + 5x = 7

Add '8' to each side of the equation.
-8 + 8 + 5x = 7 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = 7 + 8
5x = 7 + 8

Combine like terms: 7 + 8 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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