8(x+5)+4=-7(x-9)-8

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Solution for 8(x+5)+4=-7(x-9)-8 equation:


Simplifying
8(x + 5) + 4 = -7(x + -9) + -8

Reorder the terms:
8(5 + x) + 4 = -7(x + -9) + -8
(5 * 8 + x * 8) + 4 = -7(x + -9) + -8
(40 + 8x) + 4 = -7(x + -9) + -8

Reorder the terms:
40 + 4 + 8x = -7(x + -9) + -8

Combine like terms: 40 + 4 = 44
44 + 8x = -7(x + -9) + -8

Reorder the terms:
44 + 8x = -7(-9 + x) + -8
44 + 8x = (-9 * -7 + x * -7) + -8
44 + 8x = (63 + -7x) + -8

Reorder the terms:
44 + 8x = 63 + -8 + -7x

Combine like terms: 63 + -8 = 55
44 + 8x = 55 + -7x

Solving
44 + 8x = 55 + -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.
44 + 8x + 7x = 55 + -7x + 7x

Combine like terms: 8x + 7x = 15x
44 + 15x = 55 + -7x + 7x

Combine like terms: -7x + 7x = 0
44 + 15x = 55 + 0
44 + 15x = 55

Add '-44' to each side of the equation.
44 + -44 + 15x = 55 + -44

Combine like terms: 44 + -44 = 0
0 + 15x = 55 + -44
15x = 55 + -44

Combine like terms: 55 + -44 = 11
15x = 11

Divide each side by '15'.
x = 0.7333333333

Simplifying
x = 0.7333333333

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