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

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


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

Reorder the terms:
12(-5 + x) = 3(2x + -3)
(-5 * 12 + x * 12) = 3(2x + -3)
(-60 + 12x) = 3(2x + -3)

Reorder the terms:
-60 + 12x = 3(-3 + 2x)
-60 + 12x = (-3 * 3 + 2x * 3)
-60 + 12x = (-9 + 6x)

Solving
-60 + 12x = -9 + 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.
-60 + 12x + -6x = -9 + 6x + -6x

Combine like terms: 12x + -6x = 6x
-60 + 6x = -9 + 6x + -6x

Combine like terms: 6x + -6x = 0
-60 + 6x = -9 + 0
-60 + 6x = -9

Add '60' to each side of the equation.
-60 + 60 + 6x = -9 + 60

Combine like terms: -60 + 60 = 0
0 + 6x = -9 + 60
6x = -9 + 60

Combine like terms: -9 + 60 = 51
6x = 51

Divide each side by '6'.
x = 8.5

Simplifying
x = 8.5

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