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

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


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

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

Reorder the terms:
-2 + 9x = 5(4 + 2x)
-2 + 9x = (4 * 5 + 2x * 5)
-2 + 9x = (20 + 10x)

Solving
-2 + 9x = 20 + 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.
-2 + 9x + -10x = 20 + 10x + -10x

Combine like terms: 9x + -10x = -1x
-2 + -1x = 20 + 10x + -10x

Combine like terms: 10x + -10x = 0
-2 + -1x = 20 + 0
-2 + -1x = 20

Add '2' to each side of the equation.
-2 + 2 + -1x = 20 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 20 + 2
-1x = 20 + 2

Combine like terms: 20 + 2 = 22
-1x = 22

Divide each side by '-1'.
x = -22

Simplifying
x = -22

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