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

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


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

Reorder the terms:
3(4 + 3x) = 5(2x + -3)
(4 * 3 + 3x * 3) = 5(2x + -3)
(12 + 9x) = 5(2x + -3)

Reorder the terms:
12 + 9x = 5(-3 + 2x)
12 + 9x = (-3 * 5 + 2x * 5)
12 + 9x = (-15 + 10x)

Solving
12 + 9x = -15 + 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.
12 + 9x + -10x = -15 + 10x + -10x

Combine like terms: 9x + -10x = -1x
12 + -1x = -15 + 10x + -10x

Combine like terms: 10x + -10x = 0
12 + -1x = -15 + 0
12 + -1x = -15

Add '-12' to each side of the equation.
12 + -12 + -1x = -15 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = -15 + -12
-1x = -15 + -12

Combine like terms: -15 + -12 = -27
-1x = -27

Divide each side by '-1'.
x = 27

Simplifying
x = 27

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