x+x-12+3(x-12)=102

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Solution for x+x-12+3(x-12)=102 equation:


Simplifying
x + x + -12 + 3(x + -12) = 102

Reorder the terms:
x + x + -12 + 3(-12 + x) = 102
x + x + -12 + (-12 * 3 + x * 3) = 102
x + x + -12 + (-36 + 3x) = 102

Reorder the terms:
-12 + -36 + x + x + 3x = 102

Combine like terms: -12 + -36 = -48
-48 + x + x + 3x = 102

Combine like terms: x + x = 2x
-48 + 2x + 3x = 102

Combine like terms: 2x + 3x = 5x
-48 + 5x = 102

Solving
-48 + 5x = 102

Solving for variable 'x'.

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

Add '48' to each side of the equation.
-48 + 48 + 5x = 102 + 48

Combine like terms: -48 + 48 = 0
0 + 5x = 102 + 48
5x = 102 + 48

Combine like terms: 102 + 48 = 150
5x = 150

Divide each side by '5'.
x = 30

Simplifying
x = 30

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