3(x-10)=12(x-4)

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Solution for 3(x-10)=12(x-4) equation:


Simplifying
3(x + -10) = 12(x + -4)

Reorder the terms:
3(-10 + x) = 12(x + -4)
(-10 * 3 + x * 3) = 12(x + -4)
(-30 + 3x) = 12(x + -4)

Reorder the terms:
-30 + 3x = 12(-4 + x)
-30 + 3x = (-4 * 12 + x * 12)
-30 + 3x = (-48 + 12x)

Solving
-30 + 3x = -48 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-30 + 3x + -12x = -48 + 12x + -12x

Combine like terms: 3x + -12x = -9x
-30 + -9x = -48 + 12x + -12x

Combine like terms: 12x + -12x = 0
-30 + -9x = -48 + 0
-30 + -9x = -48

Add '30' to each side of the equation.
-30 + 30 + -9x = -48 + 30

Combine like terms: -30 + 30 = 0
0 + -9x = -48 + 30
-9x = -48 + 30

Combine like terms: -48 + 30 = -18
-9x = -18

Divide each side by '-9'.
x = 2

Simplifying
x = 2

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