5(2x-4)=3(3x+6)

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Solution for 5(2x-4)=3(3x+6) equation:


Simplifying
5(2x + -4) = 3(3x + 6)

Reorder the terms:
5(-4 + 2x) = 3(3x + 6)
(-4 * 5 + 2x * 5) = 3(3x + 6)
(-20 + 10x) = 3(3x + 6)

Reorder the terms:
-20 + 10x = 3(6 + 3x)
-20 + 10x = (6 * 3 + 3x * 3)
-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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