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

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


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

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

Reorder the terms:
-12 + x = 7(3 + 2x) + -7
-12 + x = (3 * 7 + 2x * 7) + -7
-12 + x = (21 + 14x) + -7

Reorder the terms:
-12 + x = 21 + -7 + 14x

Combine like terms: 21 + -7 = 14
-12 + x = 14 + 14x

Solving
-12 + x = 14 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-12 + x + -14x = 14 + 14x + -14x

Combine like terms: x + -14x = -13x
-12 + -13x = 14 + 14x + -14x

Combine like terms: 14x + -14x = 0
-12 + -13x = 14 + 0
-12 + -13x = 14

Add '12' to each side of the equation.
-12 + 12 + -13x = 14 + 12

Combine like terms: -12 + 12 = 0
0 + -13x = 14 + 12
-13x = 14 + 12

Combine like terms: 14 + 12 = 26
-13x = 26

Divide each side by '-13'.
x = -2

Simplifying
x = -2

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