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

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


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

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

Reorder the terms:
-5 + 3x = 2(-6 + 3x)
-5 + 3x = (-6 * 2 + 3x * 2)
-5 + 3x = (-12 + 6x)

Solving
-5 + 3x = -12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-5 + 3x + -6x = -12 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-5 + -3x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 0
-5 + -3x = -12 + 0
-5 + -3x = -12

Add '5' to each side of the equation.
-5 + 5 + -3x = -12 + 5

Combine like terms: -5 + 5 = 0
0 + -3x = -12 + 5
-3x = -12 + 5

Combine like terms: -12 + 5 = -7
-3x = -7

Divide each side by '-3'.
x = 2.333333333

Simplifying
x = 2.333333333

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