.5(8x-4)=3x-6

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Solution for .5(8x-4)=3x-6 equation:


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

Reorder the terms:
0.5(-4 + 8x) = 3x + -6
(-4 * 0.5 + 8x * 0.5) = 3x + -6
(-2 + 4x) = 3x + -6

Reorder the terms:
-2 + 4x = -6 + 3x

Solving
-2 + 4x = -6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-2 + 4x + -3x = -6 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-2 + 1x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + 1x = -6 + 0
-2 + 1x = -6

Add '2' to each side of the equation.
-2 + 2 + 1x = -6 + 2

Combine like terms: -2 + 2 = 0
0 + 1x = -6 + 2
1x = -6 + 2

Combine like terms: -6 + 2 = -4
1x = -4

Divide each side by '1'.
x = -4

Simplifying
x = -4

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