x+7*(8-9x)-8=5+6x-8

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Solution for x+7*(8-9x)-8=5+6x-8 equation:


Simplifying
x + 7(8 + -9x) + -8 = 5 + 6x + -8
x + (8 * 7 + -9x * 7) + -8 = 5 + 6x + -8
x + (56 + -63x) + -8 = 5 + 6x + -8

Reorder the terms:
56 + -8 + x + -63x = 5 + 6x + -8

Combine like terms: 56 + -8 = 48
48 + x + -63x = 5 + 6x + -8

Combine like terms: x + -63x = -62x
48 + -62x = 5 + 6x + -8

Reorder the terms:
48 + -62x = 5 + -8 + 6x

Combine like terms: 5 + -8 = -3
48 + -62x = -3 + 6x

Solving
48 + -62x = -3 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
48 + -62x + -6x = -3 + 6x + -6x

Combine like terms: -62x + -6x = -68x
48 + -68x = -3 + 6x + -6x

Combine like terms: 6x + -6x = 0
48 + -68x = -3 + 0
48 + -68x = -3

Add '-48' to each side of the equation.
48 + -48 + -68x = -3 + -48

Combine like terms: 48 + -48 = 0
0 + -68x = -3 + -48
-68x = -3 + -48

Combine like terms: -3 + -48 = -51
-68x = -51

Divide each side by '-68'.
x = 0.75

Simplifying
x = 0.75

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