.5(x-.25)+.88=.8(.5x-5)+.33

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Solution for .5(x-.25)+.88=.8(.5x-5)+.33 equation:


Simplifying
0.5(x + -0.25) + 0.88 = 0.8(0.5x + -5) + 0.33

Reorder the terms:
0.5(-0.25 + x) + 0.88 = 0.8(0.5x + -5) + 0.33
(-0.25 * 0.5 + x * 0.5) + 0.88 = 0.8(0.5x + -5) + 0.33
(-0.125 + 0.5x) + 0.88 = 0.8(0.5x + -5) + 0.33

Reorder the terms:
-0.125 + 0.88 + 0.5x = 0.8(0.5x + -5) + 0.33

Combine like terms: -0.125 + 0.88 = 0.755
0.755 + 0.5x = 0.8(0.5x + -5) + 0.33

Reorder the terms:
0.755 + 0.5x = 0.8(-5 + 0.5x) + 0.33
0.755 + 0.5x = (-5 * 0.8 + 0.5x * 0.8) + 0.33
0.755 + 0.5x = (-4 + 0.4x) + 0.33

Reorder the terms:
0.755 + 0.5x = -4 + 0.33 + 0.4x

Combine like terms: -4 + 0.33 = -3.67
0.755 + 0.5x = -3.67 + 0.4x

Solving
0.755 + 0.5x = -3.67 + 0.4x

Solving for variable 'x'.

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

Add '-0.4x' to each side of the equation.
0.755 + 0.5x + -0.4x = -3.67 + 0.4x + -0.4x

Combine like terms: 0.5x + -0.4x = 0.1x
0.755 + 0.1x = -3.67 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
0.755 + 0.1x = -3.67 + 0.0
0.755 + 0.1x = -3.67

Add '-0.755' to each side of the equation.
0.755 + -0.755 + 0.1x = -3.67 + -0.755

Combine like terms: 0.755 + -0.755 = 0.000
0.000 + 0.1x = -3.67 + -0.755
0.1x = -3.67 + -0.755

Combine like terms: -3.67 + -0.755 = -4.425
0.1x = -4.425

Divide each side by '0.1'.
x = -44.25

Simplifying
x = -44.25

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