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

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


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

Reorder the terms:
2(9 + -2x) = 5(2x + -2)
(9 * 2 + -2x * 2) = 5(2x + -2)
(18 + -4x) = 5(2x + -2)

Reorder the terms:
18 + -4x = 5(-2 + 2x)
18 + -4x = (-2 * 5 + 2x * 5)
18 + -4x = (-10 + 10x)

Solving
18 + -4x = -10 + 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.
18 + -4x + -10x = -10 + 10x + -10x

Combine like terms: -4x + -10x = -14x
18 + -14x = -10 + 10x + -10x

Combine like terms: 10x + -10x = 0
18 + -14x = -10 + 0
18 + -14x = -10

Add '-18' to each side of the equation.
18 + -18 + -14x = -10 + -18

Combine like terms: 18 + -18 = 0
0 + -14x = -10 + -18
-14x = -10 + -18

Combine like terms: -10 + -18 = -28
-14x = -28

Divide each side by '-14'.
x = 2

Simplifying
x = 2

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