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

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


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

Reorder the terms:
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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