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

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


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

Reorder the terms:
3(4 + x) = 0.5x + -8
(4 * 3 + x * 3) = 0.5x + -8
(12 + 3x) = 0.5x + -8

Reorder the terms:
12 + 3x = -8 + 0.5x

Solving
12 + 3x = -8 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
12 + 3x + -0.5x = -8 + 0.5x + -0.5x

Combine like terms: 3x + -0.5x = 2.5x
12 + 2.5x = -8 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
12 + 2.5x = -8 + 0.0
12 + 2.5x = -8

Add '-12' to each side of the equation.
12 + -12 + 2.5x = -8 + -12

Combine like terms: 12 + -12 = 0
0 + 2.5x = -8 + -12
2.5x = -8 + -12

Combine like terms: -8 + -12 = -20
2.5x = -20

Divide each side by '2.5'.
x = -8

Simplifying
x = -8

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