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

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Solution for 5(x-7)+12=2(x-7) equation:


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

Reorder the terms:
5(-7 + x) + 12 = 2(x + -7)
(-7 * 5 + x * 5) + 12 = 2(x + -7)
(-35 + 5x) + 12 = 2(x + -7)

Reorder the terms:
-35 + 12 + 5x = 2(x + -7)

Combine like terms: -35 + 12 = -23
-23 + 5x = 2(x + -7)

Reorder the terms:
-23 + 5x = 2(-7 + x)
-23 + 5x = (-7 * 2 + x * 2)
-23 + 5x = (-14 + 2x)

Solving
-23 + 5x = -14 + 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.
-23 + 5x + -2x = -14 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-23 + 3x = -14 + 2x + -2x

Combine like terms: 2x + -2x = 0
-23 + 3x = -14 + 0
-23 + 3x = -14

Add '23' to each side of the equation.
-23 + 23 + 3x = -14 + 23

Combine like terms: -23 + 23 = 0
0 + 3x = -14 + 23
3x = -14 + 23

Combine like terms: -14 + 23 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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