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

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Solution for 8(x+4)+6(x+4)=7x-7 equation: 


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

Reorder the terms:
8(4 + x) + 6(x + 4) = 7x + -7
(4 * 8 + x * 8) + 6(x + 4) = 7x + -7
(32 + 8x) + 6(x + 4) = 7x + -7

Reorder the terms:
32 + 8x + 6(4 + x) = 7x + -7
32 + 8x + (4 * 6 + x * 6) = 7x + -7
32 + 8x + (24 + 6x) = 7x + -7

Reorder the terms:
32 + 24 + 8x + 6x = 7x + -7

Combine like terms: 32 + 24 = 56
56 + 8x + 6x = 7x + -7

Combine like terms: 8x + 6x = 14x
56 + 14x = 7x + -7

Reorder the terms:
56 + 14x = -7 + 7x

Solving
56 + 14x = -7 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
56 + 14x + -7x = -7 + 7x + -7x

Combine like terms: 14x + -7x = 7x
56 + 7x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
56 + 7x = -7 + 0
56 + 7x = -7

Add '-56' to each side of the equation.
56 + -56 + 7x = -7 + -56

Combine like terms: 56 + -56 = 0
0 + 7x = -7 + -56
7x = -7 + -56

Combine like terms: -7 + -56 = -63
7x = -63

Divide each side by '7'.
x = -9

Simplifying
x = -9

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