5(x-1)-1=-2(-9x+9)-3x

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Solution for 5(x-1)-1=-2(-9x+9)-3x equation:


Simplifying
5(x + -1) + -1 = -2(-9x + 9) + -3x

Reorder the terms:
5(-1 + x) + -1 = -2(-9x + 9) + -3x
(-1 * 5 + x * 5) + -1 = -2(-9x + 9) + -3x
(-5 + 5x) + -1 = -2(-9x + 9) + -3x

Reorder the terms:
-5 + -1 + 5x = -2(-9x + 9) + -3x

Combine like terms: -5 + -1 = -6
-6 + 5x = -2(-9x + 9) + -3x

Reorder the terms:
-6 + 5x = -2(9 + -9x) + -3x
-6 + 5x = (9 * -2 + -9x * -2) + -3x
-6 + 5x = (-18 + 18x) + -3x

Combine like terms: 18x + -3x = 15x
-6 + 5x = -18 + 15x

Solving
-6 + 5x = -18 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-6 + 5x + -15x = -18 + 15x + -15x

Combine like terms: 5x + -15x = -10x
-6 + -10x = -18 + 15x + -15x

Combine like terms: 15x + -15x = 0
-6 + -10x = -18 + 0
-6 + -10x = -18

Add '6' to each side of the equation.
-6 + 6 + -10x = -18 + 6

Combine like terms: -6 + 6 = 0
0 + -10x = -18 + 6
-10x = -18 + 6

Combine like terms: -18 + 6 = -12
-10x = -12

Divide each side by '-10'.
x = 1.2

Simplifying
x = 1.2

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