6x-3(-5x+4)=-117

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Solution for 6x-3(-5x+4)=-117 equation: 


Simplifying
6x + -3(-5x + 4) = -117

Reorder the terms:
6x + -3(4 + -5x) = -117
6x + (4 * -3 + -5x * -3) = -117
6x + (-12 + 15x) = -117

Reorder the terms:
-12 + 6x + 15x = -117

Combine like terms: 6x + 15x = 21x
-12 + 21x = -117

Solving
-12 + 21x = -117

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 21x = -117 + 12

Combine like terms: -12 + 12 = 0
0 + 21x = -117 + 12
21x = -117 + 12

Combine like terms: -117 + 12 = -105
21x = -105

Divide each side by '21'.
x = -5

Simplifying
x = -5

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