-8(3x+0.25)=5(x-12)

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Solution for -8(3x+0.25)=5(x-12) equation:


Simplifying
-8(3x + 0.25) = 5(x + -12)

Reorder the terms:
-8(0.25 + 3x) = 5(x + -12)
(0.25 * -8 + 3x * -8) = 5(x + -12)
(-2 + -24x) = 5(x + -12)

Reorder the terms:
-2 + -24x = 5(-12 + x)
-2 + -24x = (-12 * 5 + x * 5)
-2 + -24x = (-60 + 5x)

Solving
-2 + -24x = -60 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-2 + -24x + -5x = -60 + 5x + -5x

Combine like terms: -24x + -5x = -29x
-2 + -29x = -60 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2 + -29x = -60 + 0
-2 + -29x = -60

Add '2' to each side of the equation.
-2 + 2 + -29x = -60 + 2

Combine like terms: -2 + 2 = 0
0 + -29x = -60 + 2
-29x = -60 + 2

Combine like terms: -60 + 2 = -58
-29x = -58

Divide each side by '-29'.
x = 2

Simplifying
x = 2

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