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

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


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

Reorder the terms:
5(-3 + 2x) = 3(3x + 4)
(-3 * 5 + 2x * 5) = 3(3x + 4)
(-15 + 10x) = 3(3x + 4)

Reorder the terms:
-15 + 10x = 3(4 + 3x)
-15 + 10x = (4 * 3 + 3x * 3)
-15 + 10x = (12 + 9x)

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

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

Combine like terms: 9x + -9x = 0
-15 + 1x = 12 + 0
-15 + 1x = 12

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

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

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

Divide each side by '1'.
x = 27

Simplifying
x = 27

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