6x-5+0.25(188-2x)=32-0.5x+1000-(x+5)

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Solution for 6x-5+0.25(188-2x)=32-0.5x+1000-(x+5) equation: 


Simplifying
6x + -5 + 0.25(188 + -2x) = 32 + -0.5x + 1000 + -1(x + 5)
6x + -5 + (188 * 0.25 + -2x * 0.25) = 32 + -0.5x + 1000 + -1(x + 5)
6x + -5 + (47 + -0.5x) = 32 + -0.5x + 1000 + -1(x + 5)

Reorder the terms:
-5 + 47 + 6x + -0.5x = 32 + -0.5x + 1000 + -1(x + 5)

Combine like terms: -5 + 47 = 42
42 + 6x + -0.5x = 32 + -0.5x + 1000 + -1(x + 5)

Combine like terms: 6x + -0.5x = 5.5x
42 + 5.5x = 32 + -0.5x + 1000 + -1(x + 5)

Reorder the terms:
42 + 5.5x = 32 + -0.5x + 1000 + -1(5 + x)
42 + 5.5x = 32 + -0.5x + 1000 + (5 * -1 + x * -1)
42 + 5.5x = 32 + -0.5x + 1000 + (-5 + -1x)

Reorder the terms:
42 + 5.5x = 32 + 1000 + -5 + -0.5x + -1x

Combine like terms: 32 + 1000 = 1032
42 + 5.5x = 1032 + -5 + -0.5x + -1x

Combine like terms: 1032 + -5 = 1027
42 + 5.5x = 1027 + -0.5x + -1x

Combine like terms: -0.5x + -1x = -1.5x
42 + 5.5x = 1027 + -1.5x

Solving
42 + 5.5x = 1027 + -1.5x

Solving for variable 'x'.

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

Add '1.5x' to each side of the equation.
42 + 5.5x + 1.5x = 1027 + -1.5x + 1.5x

Combine like terms: 5.5x + 1.5x = 7x
42 + 7x = 1027 + -1.5x + 1.5x

Combine like terms: -1.5x + 1.5x = 0.0
42 + 7x = 1027 + 0.0
42 + 7x = 1027

Add '-42' to each side of the equation.
42 + -42 + 7x = 1027 + -42

Combine like terms: 42 + -42 = 0
0 + 7x = 1027 + -42
7x = 1027 + -42

Combine like terms: 1027 + -42 = 985
7x = 985

Divide each side by '7'.
x = 140.7142857

Simplifying
x = 140.7142857

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