5x-12=3(x-3)

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


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

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

Reorder the terms:
-12 + 5x = 3(-3 + x)
-12 + 5x = (-3 * 3 + x * 3)
-12 + 5x = (-9 + 3x)

Solving
-12 + 5x = -9 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-12 + 5x + -3x = -9 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-12 + 2x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
-12 + 2x = -9 + 0
-12 + 2x = -9

Add '12' to each side of the equation.
-12 + 12 + 2x = -9 + 12

Combine like terms: -12 + 12 = 0
0 + 2x = -9 + 12
2x = -9 + 12

Combine like terms: -9 + 12 = 3
2x = 3

Divide each side by '2'.
x = 1.5

Simplifying
x = 1.5

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