3(6-2x)=4(2x-3)-8

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Solution for 3(6-2x)=4(2x-3)-8 equation:


Simplifying
3(6 + -2x) = 4(2x + -3) + -8
(6 * 3 + -2x * 3) = 4(2x + -3) + -8
(18 + -6x) = 4(2x + -3) + -8

Reorder the terms:
18 + -6x = 4(-3 + 2x) + -8
18 + -6x = (-3 * 4 + 2x * 4) + -8
18 + -6x = (-12 + 8x) + -8

Reorder the terms:
18 + -6x = -12 + -8 + 8x

Combine like terms: -12 + -8 = -20
18 + -6x = -20 + 8x

Solving
18 + -6x = -20 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
18 + -6x + -8x = -20 + 8x + -8x

Combine like terms: -6x + -8x = -14x
18 + -14x = -20 + 8x + -8x

Combine like terms: 8x + -8x = 0
18 + -14x = -20 + 0
18 + -14x = -20

Add '-18' to each side of the equation.
18 + -18 + -14x = -20 + -18

Combine like terms: 18 + -18 = 0
0 + -14x = -20 + -18
-14x = -20 + -18

Combine like terms: -20 + -18 = -38
-14x = -38

Divide each side by '-14'.
x = 2.714285714

Simplifying
x = 2.714285714

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