3(x-4)=-6(x+2)+30

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Solution for 3(x-4)=-6(x+2)+30 equation: 


Simplifying
3(x + -4) = -6(x + 2) + 30

Reorder the terms:
3(-4 + x) = -6(x + 2) + 30
(-4 * 3 + x * 3) = -6(x + 2) + 30
(-12 + 3x) = -6(x + 2) + 30

Reorder the terms:
-12 + 3x = -6(2 + x) + 30
-12 + 3x = (2 * -6 + x * -6) + 30
-12 + 3x = (-12 + -6x) + 30

Reorder the terms:
-12 + 3x = -12 + 30 + -6x

Combine like terms: -12 + 30 = 18
-12 + 3x = 18 + -6x

Solving
-12 + 3x = 18 + -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.
-12 + 3x + 6x = 18 + -6x + 6x

Combine like terms: 3x + 6x = 9x
-12 + 9x = 18 + -6x + 6x

Combine like terms: -6x + 6x = 0
-12 + 9x = 18 + 0
-12 + 9x = 18

Add '12' to each side of the equation.
-12 + 12 + 9x = 18 + 12

Combine like terms: -12 + 12 = 0
0 + 9x = 18 + 12
9x = 18 + 12

Combine like terms: 18 + 12 = 30
9x = 30

Divide each side by '9'.
x = 3.333333333

Simplifying
x = 3.333333333

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