.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

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

Multiply 0.5 * 0.88
0.44(-0.25 + x) = 0.8(0.5x + -5) + 0.33
(-0.25 * 0.44 + x * 0.44) = 0.8(0.5x + -5) + 0.33
(-0.11 + 0.44x) = 0.8(0.5x + -5) + 0.33

Reorder the terms:
-0.11 + 0.44x = 0.8(-5 + 0.5x) + 0.33
-0.11 + 0.44x = (-5 * 0.8 + 0.5x * 0.8) + 0.33
-0.11 + 0.44x = (-4 + 0.4x) + 0.33

Reorder the terms:
-0.11 + 0.44x = -4 + 0.33 + 0.4x

Combine like terms: -4 + 0.33 = -3.67
-0.11 + 0.44x = -3.67 + 0.4x

Solving
-0.11 + 0.44x = -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.
-0.11 + 0.44x + -0.4x = -3.67 + 0.4x + -0.4x

Combine like terms: 0.44x + -0.4x = 0.04x
-0.11 + 0.04x = -3.67 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
-0.11 + 0.04x = -3.67 + 0.0
-0.11 + 0.04x = -3.67

Add '0.11' to each side of the equation.
-0.11 + 0.11 + 0.04x = -3.67 + 0.11

Combine like terms: -0.11 + 0.11 = 0.00
0.00 + 0.04x = -3.67 + 0.11
0.04x = -3.67 + 0.11

Combine like terms: -3.67 + 0.11 = -3.56
0.04x = -3.56

Divide each side by '0.04'.
x = -89

Simplifying
x = -89

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