.25x-1.5(x-8)=.25x-3

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Solution for .25x-1.5(x-8)=.25x-3 equation:


Simplifying
0.25x + -1.5(x + -8) = 0.25x + -3

Reorder the terms:
0.25x + -1.5(-8 + x) = 0.25x + -3
0.25x + (-8 * -1.5 + x * -1.5) = 0.25x + -3
0.25x + (12 + -1.5x) = 0.25x + -3

Reorder the terms:
12 + 0.25x + -1.5x = 0.25x + -3

Combine like terms: 0.25x + -1.5x = -1.25x
12 + -1.25x = 0.25x + -3

Reorder the terms:
12 + -1.25x = -3 + 0.25x

Solving
12 + -1.25x = -3 + 0.25x

Solving for variable 'x'.

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

Add '-0.25x' to each side of the equation.
12 + -1.25x + -0.25x = -3 + 0.25x + -0.25x

Combine like terms: -1.25x + -0.25x = -1.5x
12 + -1.5x = -3 + 0.25x + -0.25x

Combine like terms: 0.25x + -0.25x = 0.00
12 + -1.5x = -3 + 0.00
12 + -1.5x = -3

Add '-12' to each side of the equation.
12 + -12 + -1.5x = -3 + -12

Combine like terms: 12 + -12 = 0
0 + -1.5x = -3 + -12
-1.5x = -3 + -12

Combine like terms: -3 + -12 = -15
-1.5x = -15

Divide each side by '-1.5'.
x = 10

Simplifying
x = 10

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