3(x+4)=8-0.5x

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


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

Reorder the terms:
3(4 + x) = 8 + -0.5x
(4 * 3 + x * 3) = 8 + -0.5x
(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 = 3.5x
12 + 3.5x = 8 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
12 + 3.5x = 8 + 0.0
12 + 3.5x = 8

Add '-12' to each side of the equation.
12 + -12 + 3.5x = 8 + -12

Combine like terms: 12 + -12 = 0
0 + 3.5x = 8 + -12
3.5x = 8 + -12

Combine like terms: 8 + -12 = -4
3.5x = -4

Divide each side by '3.5'.
x = -1.142857143

Simplifying
x = -1.142857143

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