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

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


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

Reorder the terms:
5(-1 + 2x) = 3(3x + -1)
(-1 * 5 + 2x * 5) = 3(3x + -1)
(-5 + 10x) = 3(3x + -1)

Reorder the terms:
-5 + 10x = 3(-1 + 3x)
-5 + 10x = (-1 * 3 + 3x * 3)
-5 + 10x = (-3 + 9x)

Solving
-5 + 10x = -3 + 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.
-5 + 10x + -9x = -3 + 9x + -9x

Combine like terms: 10x + -9x = 1x
-5 + 1x = -3 + 9x + -9x

Combine like terms: 9x + -9x = 0
-5 + 1x = -3 + 0
-5 + 1x = -3

Add '5' to each side of the equation.
-5 + 5 + 1x = -3 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = -3 + 5
1x = -3 + 5

Combine like terms: -3 + 5 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2

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