-3x+18=12(x-4)+10

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Solution for -3x+18=12(x-4)+10 equation: 


Simplifying
-3x + 18 = 12(x + -4) + 10

Reorder the terms:
18 + -3x = 12(x + -4) + 10

Reorder the terms:
18 + -3x = 12(-4 + x) + 10
18 + -3x = (-4 * 12 + x * 12) + 10
18 + -3x = (-48 + 12x) + 10

Reorder the terms:
18 + -3x = -48 + 10 + 12x

Combine like terms: -48 + 10 = -38
18 + -3x = -38 + 12x

Solving
18 + -3x = -38 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
18 + -3x + -12x = -38 + 12x + -12x

Combine like terms: -3x + -12x = -15x
18 + -15x = -38 + 12x + -12x

Combine like terms: 12x + -12x = 0
18 + -15x = -38 + 0
18 + -15x = -38

Add '-18' to each side of the equation.
18 + -18 + -15x = -38 + -18

Combine like terms: 18 + -18 = 0
0 + -15x = -38 + -18
-15x = -38 + -18

Combine like terms: -38 + -18 = -56
-15x = -56

Divide each side by '-15'.
x = 3.733333333

Simplifying
x = 3.733333333

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