12(x-3)=5(x-10)

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Solution for 12(x-3)=5(x-10) equation:


Simplifying
12(x + -3) = 5(x + -10)

Reorder the terms:
12(-3 + x) = 5(x + -10)
(-3 * 12 + x * 12) = 5(x + -10)
(-36 + 12x) = 5(x + -10)

Reorder the terms:
-36 + 12x = 5(-10 + x)
-36 + 12x = (-10 * 5 + x * 5)
-36 + 12x = (-50 + 5x)

Solving
-36 + 12x = -50 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-36 + 12x + -5x = -50 + 5x + -5x

Combine like terms: 12x + -5x = 7x
-36 + 7x = -50 + 5x + -5x

Combine like terms: 5x + -5x = 0
-36 + 7x = -50 + 0
-36 + 7x = -50

Add '36' to each side of the equation.
-36 + 36 + 7x = -50 + 36

Combine like terms: -36 + 36 = 0
0 + 7x = -50 + 36
7x = -50 + 36

Combine like terms: -50 + 36 = -14
7x = -14

Divide each side by '7'.
x = -2

Simplifying
x = -2

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