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

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


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

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

Reorder the terms:
42 + -6 + 6x = -4(x + 4)

Combine like terms: 42 + -6 = 36
36 + 6x = -4(x + 4)

Reorder the terms:
36 + 6x = -4(4 + x)
36 + 6x = (4 * -4 + x * -4)
36 + 6x = (-16 + -4x)

Solving
36 + 6x = -16 + -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.
36 + 6x + 4x = -16 + -4x + 4x

Combine like terms: 6x + 4x = 10x
36 + 10x = -16 + -4x + 4x

Combine like terms: -4x + 4x = 0
36 + 10x = -16 + 0
36 + 10x = -16

Add '-36' to each side of the equation.
36 + -36 + 10x = -16 + -36

Combine like terms: 36 + -36 = 0
0 + 10x = -16 + -36
10x = -16 + -36

Combine like terms: -16 + -36 = -52
10x = -52

Divide each side by '10'.
x = -5.2

Simplifying
x = -5.2

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