7(x+8)+x=4(x+5)+4

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Solution for 7(x+8)+x=4(x+5)+4 equation: 


Simplifying
7(x + 8) + x = 4(x + 5) + 4

Reorder the terms:
7(8 + x) + x = 4(x + 5) + 4
(8 * 7 + x * 7) + x = 4(x + 5) + 4
(56 + 7x) + x = 4(x + 5) + 4

Combine like terms: 7x + x = 8x
56 + 8x = 4(x + 5) + 4

Reorder the terms:
56 + 8x = 4(5 + x) + 4
56 + 8x = (5 * 4 + x * 4) + 4
56 + 8x = (20 + 4x) + 4

Reorder the terms:
56 + 8x = 20 + 4 + 4x

Combine like terms: 20 + 4 = 24
56 + 8x = 24 + 4x

Solving
56 + 8x = 24 + 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.
56 + 8x + -4x = 24 + 4x + -4x

Combine like terms: 8x + -4x = 4x
56 + 4x = 24 + 4x + -4x

Combine like terms: 4x + -4x = 0
56 + 4x = 24 + 0
56 + 4x = 24

Add '-56' to each side of the equation.
56 + -56 + 4x = 24 + -56

Combine like terms: 56 + -56 = 0
0 + 4x = 24 + -56
4x = 24 + -56

Combine like terms: 24 + -56 = -32
4x = -32

Divide each side by '4'.
x = -8

Simplifying
x = -8

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