0.5(4-6x)=8x-3(4x+6)

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Solution for 0.5(4-6x)=8x-3(4x+6) equation:


Simplifying
0.5(4 + -6x) = 8x + -3(4x + 6)
(4 * 0.5 + -6x * 0.5) = 8x + -3(4x + 6)
(2 + -3x) = 8x + -3(4x + 6)

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

Reorder the terms:
2 + -3x = -18 + 8x + -12x

Combine like terms: 8x + -12x = -4x
2 + -3x = -18 + -4x

Solving
2 + -3x = -18 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
2 + -3x + 4x = -18 + -4x + 4x

Combine like terms: -3x + 4x = 1x
2 + 1x = -18 + -4x + 4x

Combine like terms: -4x + 4x = 0
2 + 1x = -18 + 0
2 + 1x = -18

Add '-2' to each side of the equation.
2 + -2 + 1x = -18 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = -18 + -2
1x = -18 + -2

Combine like terms: -18 + -2 = -20
1x = -20

Divide each side by '1'.
x = -20

Simplifying
x = -20

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