3(2x-1)=5(3x-6)

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Solution for 3(2x-1)=5(3x-6) equation:


Simplifying
3(2x + -1) = 5(3x + -6)

Reorder the terms:
3(-1 + 2x) = 5(3x + -6)
(-1 * 3 + 2x * 3) = 5(3x + -6)
(-3 + 6x) = 5(3x + -6)

Reorder the terms:
-3 + 6x = 5(-6 + 3x)
-3 + 6x = (-6 * 5 + 3x * 5)
-3 + 6x = (-30 + 15x)

Solving
-3 + 6x = -30 + 15x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-15x' to each side of the equation.
-3 + 6x + -15x = -30 + 15x + -15x

Combine like terms: 6x + -15x = -9x
-3 + -9x = -30 + 15x + -15x

Combine like terms: 15x + -15x = 0
-3 + -9x = -30 + 0
-3 + -9x = -30

Add '3' to each side of the equation.
-3 + 3 + -9x = -30 + 3

Combine like terms: -3 + 3 = 0
0 + -9x = -30 + 3
-9x = -30 + 3

Combine like terms: -30 + 3 = -27
-9x = -27

Divide each side by '-9'.
x = 3

Simplifying
x = 3

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