6(5-3x)=-4x-12

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Solution for 6(5-3x)=-4x-12 equation:


Simplifying
6(5 + -3x) = -4x + -12
(5 * 6 + -3x * 6) = -4x + -12
(30 + -18x) = -4x + -12

Reorder the terms:
30 + -18x = -12 + -4x

Solving
30 + -18x = -12 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
30 + -18x + 4x = -12 + -4x + 4x

Combine like terms: -18x + 4x = -14x
30 + -14x = -12 + -4x + 4x

Combine like terms: -4x + 4x = 0
30 + -14x = -12 + 0
30 + -14x = -12

Add '-30' to each side of the equation.
30 + -30 + -14x = -12 + -30

Combine like terms: 30 + -30 = 0
0 + -14x = -12 + -30
-14x = -12 + -30

Combine like terms: -12 + -30 = -42
-14x = -42

Divide each side by '-14'.
x = 3

Simplifying
x = 3

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