7(x+8)+4=-8(x-6)-1

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Solution for 7(x+8)+4=-8(x-6)-1 equation: 


Simplifying
7(x + 8) + 4 = -8(x + -6) + -1

Reorder the terms:
7(8 + x) + 4 = -8(x + -6) + -1
(8 * 7 + x * 7) + 4 = -8(x + -6) + -1
(56 + 7x) + 4 = -8(x + -6) + -1

Reorder the terms:
56 + 4 + 7x = -8(x + -6) + -1

Combine like terms: 56 + 4 = 60
60 + 7x = -8(x + -6) + -1

Reorder the terms:
60 + 7x = -8(-6 + x) + -1
60 + 7x = (-6 * -8 + x * -8) + -1
60 + 7x = (48 + -8x) + -1

Reorder the terms:
60 + 7x = 48 + -1 + -8x

Combine like terms: 48 + -1 = 47
60 + 7x = 47 + -8x

Solving
60 + 7x = 47 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
60 + 7x + 8x = 47 + -8x + 8x

Combine like terms: 7x + 8x = 15x
60 + 15x = 47 + -8x + 8x

Combine like terms: -8x + 8x = 0
60 + 15x = 47 + 0
60 + 15x = 47

Add '-60' to each side of the equation.
60 + -60 + 15x = 47 + -60

Combine like terms: 60 + -60 = 0
0 + 15x = 47 + -60
15x = 47 + -60

Combine like terms: 47 + -60 = -13
15x = -13

Divide each side by '15'.
x = -0.8666666667

Simplifying
x = -0.8666666667

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