9(2x-1)=15-20(2-x)-2

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Solution for 9(2x-1)=15-20(2-x)-2 equation: 


Simplifying
9(2x + -1) = 15 + -20(2 + -1x) + -2

Reorder the terms:
9(-1 + 2x) = 15 + -20(2 + -1x) + -2
(-1 * 9 + 2x * 9) = 15 + -20(2 + -1x) + -2
(-9 + 18x) = 15 + -20(2 + -1x) + -2
-9 + 18x = 15 + (2 * -20 + -1x * -20) + -2
-9 + 18x = 15 + (-40 + 20x) + -2

Reorder the terms:
-9 + 18x = 15 + -40 + -2 + 20x

Combine like terms: 15 + -40 = -25
-9 + 18x = -25 + -2 + 20x

Combine like terms: -25 + -2 = -27
-9 + 18x = -27 + 20x

Solving
-9 + 18x = -27 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-9 + 18x + -20x = -27 + 20x + -20x

Combine like terms: 18x + -20x = -2x
-9 + -2x = -27 + 20x + -20x

Combine like terms: 20x + -20x = 0
-9 + -2x = -27 + 0
-9 + -2x = -27

Add '9' to each side of the equation.
-9 + 9 + -2x = -27 + 9

Combine like terms: -9 + 9 = 0
0 + -2x = -27 + 9
-2x = -27 + 9

Combine like terms: -27 + 9 = -18
-2x = -18

Divide each side by '-2'.
x = 9

Simplifying
x = 9

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