.25(x+8)-2=16.7(x-12)

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Solution for .25(x+8)-2=16.7(x-12) equation: 


Simplifying
0.25(x + 8) + -2 = 16.7(x + -12)

Reorder the terms:
0.25(8 + x) + -2 = 16.7(x + -12)
(8 * 0.25 + x * 0.25) + -2 = 16.7(x + -12)
(2 + 0.25x) + -2 = 16.7(x + -12)

Reorder the terms:
2 + -2 + 0.25x = 16.7(x + -12)

Combine like terms: 2 + -2 = 0
0 + 0.25x = 16.7(x + -12)
0.25x = 16.7(x + -12)

Reorder the terms:
0.25x = 16.7(-12 + x)
0.25x = (-12 * 16.7 + x * 16.7)
0.25x = (-200.4 + 16.7x)

Solving
0.25x = -200.4 + 16.7x

Solving for variable 'x'.

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

Add '-16.7x' to each side of the equation.
0.25x + -16.7x = -200.4 + 16.7x + -16.7x

Combine like terms: 0.25x + -16.7x = -16.45x
-16.45x = -200.4 + 16.7x + -16.7x

Combine like terms: 16.7x + -16.7x = 0.0
-16.45x = -200.4 + 0.0
-16.45x = -200.4

Divide each side by '-16.45'.
x = 12.18237082

Simplifying
x = 12.18237082

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