5(4+2x)=9(x-2)

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Solution for 5(4+2x)=9(x-2) equation: 


Simplifying
5(4 + 2x) = 9(x + -2)
(4 * 5 + 2x * 5) = 9(x + -2)
(20 + 10x) = 9(x + -2)

Reorder the terms:
20 + 10x = 9(-2 + x)
20 + 10x = (-2 * 9 + x * 9)
20 + 10x = (-18 + 9x)

Solving
20 + 10x = -18 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
20 + 10x + -9x = -18 + 9x + -9x

Combine like terms: 10x + -9x = 1x
20 + 1x = -18 + 9x + -9x

Combine like terms: 9x + -9x = 0
20 + 1x = -18 + 0
20 + 1x = -18

Add '-20' to each side of the equation.
20 + -20 + 1x = -18 + -20

Combine like terms: 20 + -20 = 0
0 + 1x = -18 + -20
1x = -18 + -20

Combine like terms: -18 + -20 = -38
1x = -38

Divide each side by '1'.
x = -38

Simplifying
x = -38

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