3(x-12)=5x+2

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Solution for 3(x-12)=5x+2 equation:


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

Reorder the terms:
3(-12 + x) = 5x + 2
(-12 * 3 + x * 3) = 5x + 2
(-36 + 3x) = 5x + 2

Reorder the terms:
-36 + 3x = 2 + 5x

Solving
-36 + 3x = 2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-36 + 3x + -5x = 2 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-36 + -2x = 2 + 5x + -5x

Combine like terms: 5x + -5x = 0
-36 + -2x = 2 + 0
-36 + -2x = 2

Add '36' to each side of the equation.
-36 + 36 + -2x = 2 + 36

Combine like terms: -36 + 36 = 0
0 + -2x = 2 + 36
-2x = 2 + 36

Combine like terms: 2 + 36 = 38
-2x = 38

Divide each side by '-2'.
x = -19

Simplifying
x = -19

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