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

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


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

Reorder the terms:
7(7 + x) + x = 4(x + 5) + -5
(7 * 7 + x * 7) + x = 4(x + 5) + -5
(49 + 7x) + x = 4(x + 5) + -5

Combine like terms: 7x + x = 8x
49 + 8x = 4(x + 5) + -5

Reorder the terms:
49 + 8x = 4(5 + x) + -5
49 + 8x = (5 * 4 + x * 4) + -5
49 + 8x = (20 + 4x) + -5

Reorder the terms:
49 + 8x = 20 + -5 + 4x

Combine like terms: 20 + -5 = 15
49 + 8x = 15 + 4x

Solving
49 + 8x = 15 + 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.
49 + 8x + -4x = 15 + 4x + -4x

Combine like terms: 8x + -4x = 4x
49 + 4x = 15 + 4x + -4x

Combine like terms: 4x + -4x = 0
49 + 4x = 15 + 0
49 + 4x = 15

Add '-49' to each side of the equation.
49 + -49 + 4x = 15 + -49

Combine like terms: 49 + -49 = 0
0 + 4x = 15 + -49
4x = 15 + -49

Combine like terms: 15 + -49 = -34
4x = -34

Divide each side by '4'.
x = -8.5

Simplifying
x = -8.5

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