2(3x-6)=10x+36

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Solution for 2(3x-6)=10x+36 equation:


Simplifying
2(3x + -6) = 10x + 36

Reorder the terms:
2(-6 + 3x) = 10x + 36
(-6 * 2 + 3x * 2) = 10x + 36
(-12 + 6x) = 10x + 36

Reorder the terms:
-12 + 6x = 36 + 10x

Solving
-12 + 6x = 36 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-12 + 6x + -10x = 36 + 10x + -10x

Combine like terms: 6x + -10x = -4x
-12 + -4x = 36 + 10x + -10x

Combine like terms: 10x + -10x = 0
-12 + -4x = 36 + 0
-12 + -4x = 36

Add '12' to each side of the equation.
-12 + 12 + -4x = 36 + 12

Combine like terms: -12 + 12 = 0
0 + -4x = 36 + 12
-4x = 36 + 12

Combine like terms: 36 + 12 = 48
-4x = 48

Divide each side by '-4'.
x = -12

Simplifying
x = -12

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