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

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


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

Reorder the terms:
3(-6 + x) + 5x = -2x + 12
(-6 * 3 + x * 3) + 5x = -2x + 12
(-18 + 3x) + 5x = -2x + 12

Combine like terms: 3x + 5x = 8x
-18 + 8x = -2x + 12

Reorder the terms:
-18 + 8x = 12 + -2x

Solving
-18 + 8x = 12 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-18 + 8x + 2x = 12 + -2x + 2x

Combine like terms: 8x + 2x = 10x
-18 + 10x = 12 + -2x + 2x

Combine like terms: -2x + 2x = 0
-18 + 10x = 12 + 0
-18 + 10x = 12

Add '18' to each side of the equation.
-18 + 18 + 10x = 12 + 18

Combine like terms: -18 + 18 = 0
0 + 10x = 12 + 18
10x = 12 + 18

Combine like terms: 12 + 18 = 30
10x = 30

Divide each side by '10'.
x = 3

Simplifying
x = 3

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