0.25(x-4)+0.83(x-12)=x+8

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Solution for 0.25(x-4)+0.83(x-12)=x+8 equation:


Simplifying
0.25(x + -4) + 0.83(x + -12) = x + 8

Reorder the terms:
0.25(-4 + x) + 0.83(x + -12) = x + 8
(-4 * 0.25 + x * 0.25) + 0.83(x + -12) = x + 8
(-1 + 0.25x) + 0.83(x + -12) = x + 8

Reorder the terms:
-1 + 0.25x + 0.83(-12 + x) = x + 8
-1 + 0.25x + (-12 * 0.83 + x * 0.83) = x + 8
-1 + 0.25x + (-9.96 + 0.83x) = x + 8

Reorder the terms:
-1 + -9.96 + 0.25x + 0.83x = x + 8

Combine like terms: -1 + -9.96 = -10.96
-10.96 + 0.25x + 0.83x = x + 8

Combine like terms: 0.25x + 0.83x = 1.08x
-10.96 + 1.08x = x + 8

Reorder the terms:
-10.96 + 1.08x = 8 + x

Solving
-10.96 + 1.08x = 8 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-10.96 + 1.08x + -1x = 8 + x + -1x

Combine like terms: 1.08x + -1x = 0.08x
-10.96 + 0.08x = 8 + x + -1x

Combine like terms: x + -1x = 0
-10.96 + 0.08x = 8 + 0
-10.96 + 0.08x = 8

Add '10.96' to each side of the equation.
-10.96 + 10.96 + 0.08x = 8 + 10.96

Combine like terms: -10.96 + 10.96 = 0.00
0.00 + 0.08x = 8 + 10.96
0.08x = 8 + 10.96

Combine like terms: 8 + 10.96 = 18.96
0.08x = 18.96

Divide each side by '0.08'.
x = 237

Simplifying
x = 237

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