3(3x+10)=5(2x-9)

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Solution for 3(3x+10)=5(2x-9) equation:


Simplifying
3(3x + 10) = 5(2x + -9)

Reorder the terms:
3(10 + 3x) = 5(2x + -9)
(10 * 3 + 3x * 3) = 5(2x + -9)
(30 + 9x) = 5(2x + -9)

Reorder the terms:
30 + 9x = 5(-9 + 2x)
30 + 9x = (-9 * 5 + 2x * 5)
30 + 9x = (-45 + 10x)

Solving
30 + 9x = -45 + 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.
30 + 9x + -10x = -45 + 10x + -10x

Combine like terms: 9x + -10x = -1x
30 + -1x = -45 + 10x + -10x

Combine like terms: 10x + -10x = 0
30 + -1x = -45 + 0
30 + -1x = -45

Add '-30' to each side of the equation.
30 + -30 + -1x = -45 + -30

Combine like terms: 30 + -30 = 0
0 + -1x = -45 + -30
-1x = -45 + -30

Combine like terms: -45 + -30 = -75
-1x = -75

Divide each side by '-1'.
x = 75

Simplifying
x = 75

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