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

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


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

Reorder the terms:
3(2 + 3x) = 5(2x + -5)
(2 * 3 + 3x * 3) = 5(2x + -5)
(6 + 9x) = 5(2x + -5)

Reorder the terms:
6 + 9x = 5(-5 + 2x)
6 + 9x = (-5 * 5 + 2x * 5)
6 + 9x = (-25 + 10x)

Solving
6 + 9x = -25 + 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.
6 + 9x + -10x = -25 + 10x + -10x

Combine like terms: 9x + -10x = -1x
6 + -1x = -25 + 10x + -10x

Combine like terms: 10x + -10x = 0
6 + -1x = -25 + 0
6 + -1x = -25

Add '-6' to each side of the equation.
6 + -6 + -1x = -25 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = -25 + -6
-1x = -25 + -6

Combine like terms: -25 + -6 = -31
-1x = -31

Divide each side by '-1'.
x = 31

Simplifying
x = 31

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