7(6x+6)=-3(-5x+4)

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Solution for 7(6x+6)=-3(-5x+4) equation:


Simplifying
7(6x + 6) = -3(-5x + 4)

Reorder the terms:
7(6 + 6x) = -3(-5x + 4)
(6 * 7 + 6x * 7) = -3(-5x + 4)
(42 + 42x) = -3(-5x + 4)

Reorder the terms:
42 + 42x = -3(4 + -5x)
42 + 42x = (4 * -3 + -5x * -3)
42 + 42x = (-12 + 15x)

Solving
42 + 42x = -12 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
42 + 42x + -15x = -12 + 15x + -15x

Combine like terms: 42x + -15x = 27x
42 + 27x = -12 + 15x + -15x

Combine like terms: 15x + -15x = 0
42 + 27x = -12 + 0
42 + 27x = -12

Add '-42' to each side of the equation.
42 + -42 + 27x = -12 + -42

Combine like terms: 42 + -42 = 0
0 + 27x = -12 + -42
27x = -12 + -42

Combine like terms: -12 + -42 = -54
27x = -54

Divide each side by '27'.
x = -2

Simplifying
x = -2

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