4(x-3)-8x=2(12x-9)

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Solution for 4(x-3)-8x=2(12x-9) equation:


Simplifying
4(x + -3) + -8x = 2(12x + -9)

Reorder the terms:
4(-3 + x) + -8x = 2(12x + -9)
(-3 * 4 + x * 4) + -8x = 2(12x + -9)
(-12 + 4x) + -8x = 2(12x + -9)

Combine like terms: 4x + -8x = -4x
-12 + -4x = 2(12x + -9)

Reorder the terms:
-12 + -4x = 2(-9 + 12x)
-12 + -4x = (-9 * 2 + 12x * 2)
-12 + -4x = (-18 + 24x)

Solving
-12 + -4x = -18 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
-12 + -4x + -24x = -18 + 24x + -24x

Combine like terms: -4x + -24x = -28x
-12 + -28x = -18 + 24x + -24x

Combine like terms: 24x + -24x = 0
-12 + -28x = -18 + 0
-12 + -28x = -18

Add '12' to each side of the equation.
-12 + 12 + -28x = -18 + 12

Combine like terms: -12 + 12 = 0
0 + -28x = -18 + 12
-28x = -18 + 12

Combine like terms: -18 + 12 = -6
-28x = -6

Divide each side by '-28'.
x = 0.2142857143

Simplifying
x = 0.2142857143

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