3(2x-5)=12(2x-3)-15

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Solution for 3(2x-5)=12(2x-3)-15 equation: 


Simplifying
3(2x + -5) = 12(2x + -3) + -15

Reorder the terms:
3(-5 + 2x) = 12(2x + -3) + -15
(-5 * 3 + 2x * 3) = 12(2x + -3) + -15
(-15 + 6x) = 12(2x + -3) + -15

Reorder the terms:
-15 + 6x = 12(-3 + 2x) + -15
-15 + 6x = (-3 * 12 + 2x * 12) + -15
-15 + 6x = (-36 + 24x) + -15

Reorder the terms:
-15 + 6x = -36 + -15 + 24x

Combine like terms: -36 + -15 = -51
-15 + 6x = -51 + 24x

Solving
-15 + 6x = -51 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
-15 + 6x + -24x = -51 + 24x + -24x

Combine like terms: 6x + -24x = -18x
-15 + -18x = -51 + 24x + -24x

Combine like terms: 24x + -24x = 0
-15 + -18x = -51 + 0
-15 + -18x = -51

Add '15' to each side of the equation.
-15 + 15 + -18x = -51 + 15

Combine like terms: -15 + 15 = 0
0 + -18x = -51 + 15
-18x = -51 + 15

Combine like terms: -51 + 15 = -36
-18x = -36

Divide each side by '-18'.
x = 2

Simplifying
x = 2

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