.75(.25x+8)-(.5x+2)=.23(4-x)-.25

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Solution for .75(.25x+8)-(.5x+2)=.23(4-x)-.25 equation:


Simplifying
0.75(0.25x + 8) + -1(0.5x + 2) = 0.23(4 + -1x) + -0.25

Reorder the terms:
0.75(8 + 0.25x) + -1(0.5x + 2) = 0.23(4 + -1x) + -0.25
(8 * 0.75 + 0.25x * 0.75) + -1(0.5x + 2) = 0.23(4 + -1x) + -0.25
(6 + 0.1875x) + -1(0.5x + 2) = 0.23(4 + -1x) + -0.25

Reorder the terms:
6 + 0.1875x + -1(2 + 0.5x) = 0.23(4 + -1x) + -0.25
6 + 0.1875x + (2 * -1 + 0.5x * -1) = 0.23(4 + -1x) + -0.25
6 + 0.1875x + (-2 + -0.5x) = 0.23(4 + -1x) + -0.25

Reorder the terms:
6 + -2 + 0.1875x + -0.5x = 0.23(4 + -1x) + -0.25

Combine like terms: 6 + -2 = 4
4 + 0.1875x + -0.5x = 0.23(4 + -1x) + -0.25

Combine like terms: 0.1875x + -0.5x = -0.3125x
4 + -0.3125x = 0.23(4 + -1x) + -0.25
4 + -0.3125x = (4 * 0.23 + -1x * 0.23) + -0.25
4 + -0.3125x = (0.92 + -0.23x) + -0.25

Reorder the terms:
4 + -0.3125x = 0.92 + -0.25 + -0.23x

Combine like terms: 0.92 + -0.25 = 0.67
4 + -0.3125x = 0.67 + -0.23x

Solving
4 + -0.3125x = 0.67 + -0.23x

Solving for variable 'x'.

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

Add '0.23x' to each side of the equation.
4 + -0.3125x + 0.23x = 0.67 + -0.23x + 0.23x

Combine like terms: -0.3125x + 0.23x = -0.0825x
4 + -0.0825x = 0.67 + -0.23x + 0.23x

Combine like terms: -0.23x + 0.23x = 0.00
4 + -0.0825x = 0.67 + 0.00
4 + -0.0825x = 0.67

Add '-4' to each side of the equation.
4 + -4 + -0.0825x = 0.67 + -4

Combine like terms: 4 + -4 = 0
0 + -0.0825x = 0.67 + -4
-0.0825x = 0.67 + -4

Combine like terms: 0.67 + -4 = -3.33
-0.0825x = -3.33

Divide each side by '-0.0825'.
x = 40.36363636

Simplifying
x = 40.36363636

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