3(x-2)+5x=6x-12

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Solution for 3(x-2)+5x=6x-12 equation:


Simplifying
3(x + -2) + 5x = 6x + -12

Reorder the terms:
3(-2 + x) + 5x = 6x + -12
(-2 * 3 + x * 3) + 5x = 6x + -12
(-6 + 3x) + 5x = 6x + -12

Combine like terms: 3x + 5x = 8x
-6 + 8x = 6x + -12

Reorder the terms:
-6 + 8x = -12 + 6x

Solving
-6 + 8x = -12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-6 + 8x + -6x = -12 + 6x + -6x

Combine like terms: 8x + -6x = 2x
-6 + 2x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + 2x = -12 + 0
-6 + 2x = -12

Add '6' to each side of the equation.
-6 + 6 + 2x = -12 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = -12 + 6
2x = -12 + 6

Combine like terms: -12 + 6 = -6
2x = -6

Divide each side by '2'.
x = -3

Simplifying
x = -3

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