7(x+8)+x=3(x+4)-4

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Solution for 7(x+8)+x=3(x+4)-4 equation: 


Simplifying
7(x + 8) + x = 3(x + 4) + -4

Reorder the terms:
7(8 + x) + x = 3(x + 4) + -4
(8 * 7 + x * 7) + x = 3(x + 4) + -4
(56 + 7x) + x = 3(x + 4) + -4

Combine like terms: 7x + x = 8x
56 + 8x = 3(x + 4) + -4

Reorder the terms:
56 + 8x = 3(4 + x) + -4
56 + 8x = (4 * 3 + x * 3) + -4
56 + 8x = (12 + 3x) + -4

Reorder the terms:
56 + 8x = 12 + -4 + 3x

Combine like terms: 12 + -4 = 8
56 + 8x = 8 + 3x

Solving
56 + 8x = 8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
56 + 8x + -3x = 8 + 3x + -3x

Combine like terms: 8x + -3x = 5x
56 + 5x = 8 + 3x + -3x

Combine like terms: 3x + -3x = 0
56 + 5x = 8 + 0
56 + 5x = 8

Add '-56' to each side of the equation.
56 + -56 + 5x = 8 + -56

Combine like terms: 56 + -56 = 0
0 + 5x = 8 + -56
5x = 8 + -56

Combine like terms: 8 + -56 = -48
5x = -48

Divide each side by '5'.
x = -9.6

Simplifying
x = -9.6

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