5(2+2x)=9(x-3)

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Solution for 5(2+2x)=9(x-3) equation:


Simplifying
5(2 + 2x) = 9(x + -3)
(2 * 5 + 2x * 5) = 9(x + -3)
(10 + 10x) = 9(x + -3)

Reorder the terms:
10 + 10x = 9(-3 + x)
10 + 10x = (-3 * 9 + x * 9)
10 + 10x = (-27 + 9x)

Solving
10 + 10x = -27 + 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.
10 + 10x + -9x = -27 + 9x + -9x

Combine like terms: 10x + -9x = 1x
10 + 1x = -27 + 9x + -9x

Combine like terms: 9x + -9x = 0
10 + 1x = -27 + 0
10 + 1x = -27

Add '-10' to each side of the equation.
10 + -10 + 1x = -27 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = -27 + -10
1x = -27 + -10

Combine like terms: -27 + -10 = -37
1x = -37

Divide each side by '1'.
x = -37

Simplifying
x = -37

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