4(3x-5)=-2(x-6)

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Solution for 4(3x-5)=-2(x-6) equation:


Simplifying
4(3x + -5) = -2(x + -6)

Reorder the terms:
4(-5 + 3x) = -2(x + -6)
(-5 * 4 + 3x * 4) = -2(x + -6)
(-20 + 12x) = -2(x + -6)

Reorder the terms:
-20 + 12x = -2(-6 + x)
-20 + 12x = (-6 * -2 + x * -2)
-20 + 12x = (12 + -2x)

Solving
-20 + 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.
-20 + 12x + 2x = 12 + -2x + 2x

Combine like terms: 12x + 2x = 14x
-20 + 14x = 12 + -2x + 2x

Combine like terms: -2x + 2x = 0
-20 + 14x = 12 + 0
-20 + 14x = 12

Add '20' to each side of the equation.
-20 + 20 + 14x = 12 + 20

Combine like terms: -20 + 20 = 0
0 + 14x = 12 + 20
14x = 12 + 20

Combine like terms: 12 + 20 = 32
14x = 32

Divide each side by '14'.
x = 2.285714286

Simplifying
x = 2.285714286

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