3(3x-1)=5(2x-2)

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Solution for 3(3x-1)=5(2x-2) equation:


Simplifying
3(3x + -1) = 5(2x + -2)

Reorder the terms:
3(-1 + 3x) = 5(2x + -2)
(-1 * 3 + 3x * 3) = 5(2x + -2)
(-3 + 9x) = 5(2x + -2)

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

Solving
-3 + 9x = -10 + 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.
-3 + 9x + -10x = -10 + 10x + -10x

Combine like terms: 9x + -10x = -1x
-3 + -1x = -10 + 10x + -10x

Combine like terms: 10x + -10x = 0
-3 + -1x = -10 + 0
-3 + -1x = -10

Add '3' to each side of the equation.
-3 + 3 + -1x = -10 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = -10 + 3
-1x = -10 + 3

Combine like terms: -10 + 3 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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