12.88-0.88(x+0.5)=.25x+2(x-3.17)

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Solution for 12.88-0.88(x+0.5)=.25x+2(x-3.17) equation: 


Simplifying
12.88 + -0.88(x + 0.5) = 0.25x + 2(x + -3.17)

Reorder the terms:
12.88 + -0.88(0.5 + x) = 0.25x + 2(x + -3.17)
12.88 + (0.5 * -0.88 + x * -0.88) = 0.25x + 2(x + -3.17)
12.88 + (-0.44 + -0.88x) = 0.25x + 2(x + -3.17)

Combine like terms: 12.88 + -0.44 = 12.44
12.44 + -0.88x = 0.25x + 2(x + -3.17)

Reorder the terms:
12.44 + -0.88x = 0.25x + 2(-3.17 + x)
12.44 + -0.88x = 0.25x + (-3.17 * 2 + x * 2)
12.44 + -0.88x = 0.25x + (-6.34 + 2x)

Reorder the terms:
12.44 + -0.88x = -6.34 + 0.25x + 2x

Combine like terms: 0.25x + 2x = 2.25x
12.44 + -0.88x = -6.34 + 2.25x

Solving
12.44 + -0.88x = -6.34 + 2.25x

Solving for variable 'x'.

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

Add '-2.25x' to each side of the equation.
12.44 + -0.88x + -2.25x = -6.34 + 2.25x + -2.25x

Combine like terms: -0.88x + -2.25x = -3.13x
12.44 + -3.13x = -6.34 + 2.25x + -2.25x

Combine like terms: 2.25x + -2.25x = 0.00
12.44 + -3.13x = -6.34 + 0.00
12.44 + -3.13x = -6.34

Add '-12.44' to each side of the equation.
12.44 + -12.44 + -3.13x = -6.34 + -12.44

Combine like terms: 12.44 + -12.44 = 0.00
0.00 + -3.13x = -6.34 + -12.44
-3.13x = -6.34 + -12.44

Combine like terms: -6.34 + -12.44 = -18.78
-3.13x = -18.78

Divide each side by '-3.13'.
x = 6

Simplifying
x = 6

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