2(x-7)+2(x-5)+12=180

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Solution for 2(x-7)+2(x-5)+12=180 equation:


Simplifying
2(x + -7) + 2(x + -5) + 12 = 180

Reorder the terms:
2(-7 + x) + 2(x + -5) + 12 = 180
(-7 * 2 + x * 2) + 2(x + -5) + 12 = 180
(-14 + 2x) + 2(x + -5) + 12 = 180

Reorder the terms:
-14 + 2x + 2(-5 + x) + 12 = 180
-14 + 2x + (-5 * 2 + x * 2) + 12 = 180
-14 + 2x + (-10 + 2x) + 12 = 180

Reorder the terms:
-14 + -10 + 12 + 2x + 2x = 180

Combine like terms: -14 + -10 = -24
-24 + 12 + 2x + 2x = 180

Combine like terms: -24 + 12 = -12
-12 + 2x + 2x = 180

Combine like terms: 2x + 2x = 4x
-12 + 4x = 180

Solving
-12 + 4x = 180

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 4x = 180 + 12

Combine like terms: -12 + 12 = 0
0 + 4x = 180 + 12
4x = 180 + 12

Combine like terms: 180 + 12 = 192
4x = 192

Divide each side by '4'.
x = 48

Simplifying
x = 48

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