9(2x+4)=15(3x-30)

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Solution for 9(2x+4)=15(3x-30) equation:


Simplifying
9(2x + 4) = 15(3x + -30)

Reorder the terms:
9(4 + 2x) = 15(3x + -30)
(4 * 9 + 2x * 9) = 15(3x + -30)
(36 + 18x) = 15(3x + -30)

Reorder the terms:
36 + 18x = 15(-30 + 3x)
36 + 18x = (-30 * 15 + 3x * 15)
36 + 18x = (-450 + 45x)

Solving
36 + 18x = -450 + 45x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-45x' to each side of the equation.
36 + 18x + -45x = -450 + 45x + -45x

Combine like terms: 18x + -45x = -27x
36 + -27x = -450 + 45x + -45x

Combine like terms: 45x + -45x = 0
36 + -27x = -450 + 0
36 + -27x = -450

Add '-36' to each side of the equation.
36 + -36 + -27x = -450 + -36

Combine like terms: 36 + -36 = 0
0 + -27x = -450 + -36
-27x = -450 + -36

Combine like terms: -450 + -36 = -486
-27x = -486

Divide each side by '-27'.
x = 18

Simplifying
x = 18

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