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

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


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

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

Reorder the terms:
12 + 4X = -0.5(-4 + X) + -8
12 + 4X = (-4 * -0.5 + X * -0.5) + -8
12 + 4X = (2 + -0.5X) + -8

Reorder the terms:
12 + 4X = 2 + -8 + -0.5X

Combine like terms: 2 + -8 = -6
12 + 4X = -6 + -0.5X

Solving
12 + 4X = -6 + -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 + 4X + 0.5X = -6 + -0.5X + 0.5X

Combine like terms: 4X + 0.5X = 4.5X
12 + 4.5X = -6 + -0.5X + 0.5X

Combine like terms: -0.5X + 0.5X = 0.0
12 + 4.5X = -6 + 0.0
12 + 4.5X = -6

Add '-12' to each side of the equation.
12 + -12 + 4.5X = -6 + -12

Combine like terms: 12 + -12 = 0
0 + 4.5X = -6 + -12
4.5X = -6 + -12

Combine like terms: -6 + -12 = -18
4.5X = -18

Divide each side by '4.5'.
X = -4

Simplifying
X = -4

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