3(4x-10)=-2(x-6)

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Solution for 3(4x-10)=-2(x-6) equation:


Simplifying
3(4x + -10) = -2(x + -6)

Reorder the terms:
3(-10 + 4x) = -2(x + -6)
(-10 * 3 + 4x * 3) = -2(x + -6)
(-30 + 12x) = -2(x + -6)

Reorder the terms:
-30 + 12x = -2(-6 + x)
-30 + 12x = (-6 * -2 + x * -2)
-30 + 12x = (12 + -2x)

Solving
-30 + 12x = 12 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-30 + 12x + 2x = 12 + -2x + 2x

Combine like terms: 12x + 2x = 14x
-30 + 14x = 12 + -2x + 2x

Combine like terms: -2x + 2x = 0
-30 + 14x = 12 + 0
-30 + 14x = 12

Add '30' to each side of the equation.
-30 + 30 + 14x = 12 + 30

Combine like terms: -30 + 30 = 0
0 + 14x = 12 + 30
14x = 12 + 30

Combine like terms: 12 + 30 = 42
14x = 42

Divide each side by '14'.
x = 3

Simplifying
x = 3

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