-9(x-1)-5x=-9+10(x+9)

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Solution for -9(x-1)-5x=-9+10(x+9) equation:


Simplifying
-9(x + -1) + -5x = -9 + 10(x + 9)

Reorder the terms:
-9(-1 + x) + -5x = -9 + 10(x + 9)
(-1 * -9 + x * -9) + -5x = -9 + 10(x + 9)
(9 + -9x) + -5x = -9 + 10(x + 9)

Combine like terms: -9x + -5x = -14x
9 + -14x = -9 + 10(x + 9)

Reorder the terms:
9 + -14x = -9 + 10(9 + x)
9 + -14x = -9 + (9 * 10 + x * 10)
9 + -14x = -9 + (90 + 10x)

Combine like terms: -9 + 90 = 81
9 + -14x = 81 + 10x

Solving
9 + -14x = 81 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
9 + -14x + -10x = 81 + 10x + -10x

Combine like terms: -14x + -10x = -24x
9 + -24x = 81 + 10x + -10x

Combine like terms: 10x + -10x = 0
9 + -24x = 81 + 0
9 + -24x = 81

Add '-9' to each side of the equation.
9 + -9 + -24x = 81 + -9

Combine like terms: 9 + -9 = 0
0 + -24x = 81 + -9
-24x = 81 + -9

Combine like terms: 81 + -9 = 72
-24x = 72

Divide each side by '-24'.
x = -3

Simplifying
x = -3

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