15=.25(x-12)+x-2

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Solution for 15=.25(x-12)+x-2 equation:


Simplifying
15 = 0.25(x + -12) + x + -2

Reorder the terms:
15 = 0.25(-12 + x) + x + -2
15 = (-12 * 0.25 + x * 0.25) + x + -2
15 = (-3 + 0.25x) + x + -2

Reorder the terms:
15 = -3 + -2 + 0.25x + x

Combine like terms: -3 + -2 = -5
15 = -5 + 0.25x + x

Combine like terms: 0.25x + x = 1.25x
15 = -5 + 1.25x

Solving
15 = -5 + 1.25x

Solving for variable 'x'.

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

Add '-1.25x' to each side of the equation.
15 + -1.25x = -5 + 1.25x + -1.25x

Combine like terms: 1.25x + -1.25x = 0.00
15 + -1.25x = -5 + 0.00
15 + -1.25x = -5

Add '-15' to each side of the equation.
15 + -15 + -1.25x = -5 + -15

Combine like terms: 15 + -15 = 0
0 + -1.25x = -5 + -15
-1.25x = -5 + -15

Combine like terms: -5 + -15 = -20
-1.25x = -20

Divide each side by '-1.25'.
x = 16

Simplifying
x = 16

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