3x+7(x-2)-13=12-3x

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Solution for 3x+7(x-2)-13=12-3x equation:


Simplifying
3x + 7(x + -2) + -13 = 12 + -3x

Reorder the terms:
3x + 7(-2 + x) + -13 = 12 + -3x
3x + (-2 * 7 + x * 7) + -13 = 12 + -3x
3x + (-14 + 7x) + -13 = 12 + -3x

Reorder the terms:
-14 + -13 + 3x + 7x = 12 + -3x

Combine like terms: -14 + -13 = -27
-27 + 3x + 7x = 12 + -3x

Combine like terms: 3x + 7x = 10x
-27 + 10x = 12 + -3x

Solving
-27 + 10x = 12 + -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.
-27 + 10x + 3x = 12 + -3x + 3x

Combine like terms: 10x + 3x = 13x
-27 + 13x = 12 + -3x + 3x

Combine like terms: -3x + 3x = 0
-27 + 13x = 12 + 0
-27 + 13x = 12

Add '27' to each side of the equation.
-27 + 27 + 13x = 12 + 27

Combine like terms: -27 + 27 = 0
0 + 13x = 12 + 27
13x = 12 + 27

Combine like terms: 12 + 27 = 39
13x = 39

Divide each side by '13'.
x = 3

Simplifying
x = 3

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