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

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


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

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

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

Solving
-8 + 3x = 2 + 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.
-8 + 3x + -4x = 2 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-8 + -1x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
-8 + -1x = 2 + 0
-8 + -1x = 2

Add '8' to each side of the equation.
-8 + 8 + -1x = 2 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 2 + 8
-1x = 2 + 8

Combine like terms: 2 + 8 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

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