6(4x+7)+6(5x-5)=-18

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Solution for 6(4x+7)+6(5x-5)=-18 equation: 


Simplifying
6(4x + 7) + 6(5x + -5) = -18

Reorder the terms:
6(7 + 4x) + 6(5x + -5) = -18
(7 * 6 + 4x * 6) + 6(5x + -5) = -18
(42 + 24x) + 6(5x + -5) = -18

Reorder the terms:
42 + 24x + 6(-5 + 5x) = -18
42 + 24x + (-5 * 6 + 5x * 6) = -18
42 + 24x + (-30 + 30x) = -18

Reorder the terms:
42 + -30 + 24x + 30x = -18

Combine like terms: 42 + -30 = 12
12 + 24x + 30x = -18

Combine like terms: 24x + 30x = 54x
12 + 54x = -18

Solving
12 + 54x = -18

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 + 54x = -18 + -12

Combine like terms: 12 + -12 = 0
0 + 54x = -18 + -12
54x = -18 + -12

Combine like terms: -18 + -12 = -30
54x = -30

Divide each side by '54'.
x = -0.5555555556

Simplifying
x = -0.5555555556

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