x+9=5(2x-4)

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


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

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

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

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

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

Combine like terms: 10x + -10x = 0
9 + -9x = -20 + 0
9 + -9x = -20

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

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

Combine like terms: -20 + -9 = -29
-9x = -29

Divide each side by '-9'.
x = 3.222222222

Simplifying
x = 3.222222222

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