7(x+6)+4x=5(-12x+4)-6

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Solution for 7(x+6)+4x=5(-12x+4)-6 equation: 


Simplifying
7(x + 6) + 4x = 5(-12x + 4) + -6

Reorder the terms:
7(6 + x) + 4x = 5(-12x + 4) + -6
(6 * 7 + x * 7) + 4x = 5(-12x + 4) + -6
(42 + 7x) + 4x = 5(-12x + 4) + -6

Combine like terms: 7x + 4x = 11x
42 + 11x = 5(-12x + 4) + -6

Reorder the terms:
42 + 11x = 5(4 + -12x) + -6
42 + 11x = (4 * 5 + -12x * 5) + -6
42 + 11x = (20 + -60x) + -6

Reorder the terms:
42 + 11x = 20 + -6 + -60x

Combine like terms: 20 + -6 = 14
42 + 11x = 14 + -60x

Solving
42 + 11x = 14 + -60x

Solving for variable 'x'.

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

Add '60x' to each side of the equation.
42 + 11x + 60x = 14 + -60x + 60x

Combine like terms: 11x + 60x = 71x
42 + 71x = 14 + -60x + 60x

Combine like terms: -60x + 60x = 0
42 + 71x = 14 + 0
42 + 71x = 14

Add '-42' to each side of the equation.
42 + -42 + 71x = 14 + -42

Combine like terms: 42 + -42 = 0
0 + 71x = 14 + -42
71x = 14 + -42

Combine like terms: 14 + -42 = -28
71x = -28

Divide each side by '71'.
x = -0.3943661972

Simplifying
x = -0.3943661972

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