10+90(x+2)-7+3(2x-8)=-1

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Solution for 10+90(x+2)-7+3(2x-8)=-1 equation: 


Simplifying
10 + 90(x + 2) + -7 + 3(2x + -8) = -1

Reorder the terms:
10 + 90(2 + x) + -7 + 3(2x + -8) = -1
10 + (2 * 90 + x * 90) + -7 + 3(2x + -8) = -1
10 + (180 + 90x) + -7 + 3(2x + -8) = -1

Reorder the terms:
10 + 180 + 90x + -7 + 3(-8 + 2x) = -1
10 + 180 + 90x + -7 + (-8 * 3 + 2x * 3) = -1
10 + 180 + 90x + -7 + (-24 + 6x) = -1

Reorder the terms:
10 + 180 + -7 + -24 + 90x + 6x = -1

Combine like terms: 10 + 180 = 190
190 + -7 + -24 + 90x + 6x = -1

Combine like terms: 190 + -7 = 183
183 + -24 + 90x + 6x = -1

Combine like terms: 183 + -24 = 159
159 + 90x + 6x = -1

Combine like terms: 90x + 6x = 96x
159 + 96x = -1

Solving
159 + 96x = -1

Solving for variable 'x'.

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

Add '-159' to each side of the equation.
159 + -159 + 96x = -1 + -159

Combine like terms: 159 + -159 = 0
0 + 96x = -1 + -159
96x = -1 + -159

Combine like terms: -1 + -159 = -160
96x = -160

Divide each side by '96'.
x = -1.666666667

Simplifying
x = -1.666666667

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