-.5(x-10)+5x=.25(2x-20)+11

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Solution for -.5(x-10)+5x=.25(2x-20)+11 equation:


Simplifying
-0.5(x + -10) + 5x = 0.25(2x + -20) + 11

Reorder the terms:
-0.5(-10 + x) + 5x = 0.25(2x + -20) + 11
(-10 * -0.5 + x * -0.5) + 5x = 0.25(2x + -20) + 11
(5 + -0.5x) + 5x = 0.25(2x + -20) + 11

Combine like terms: -0.5x + 5x = 4.5x
5 + 4.5x = 0.25(2x + -20) + 11

Reorder the terms:
5 + 4.5x = 0.25(-20 + 2x) + 11
5 + 4.5x = (-20 * 0.25 + 2x * 0.25) + 11
5 + 4.5x = (-5 + 0.5x) + 11

Reorder the terms:
5 + 4.5x = -5 + 11 + 0.5x

Combine like terms: -5 + 11 = 6
5 + 4.5x = 6 + 0.5x

Solving
5 + 4.5x = 6 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
5 + 4.5x + -0.5x = 6 + 0.5x + -0.5x

Combine like terms: 4.5x + -0.5x = 4x
5 + 4x = 6 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
5 + 4x = 6 + 0.0
5 + 4x = 6

Add '-5' to each side of the equation.
5 + -5 + 4x = 6 + -5

Combine like terms: 5 + -5 = 0
0 + 4x = 6 + -5
4x = 6 + -5

Combine like terms: 6 + -5 = 1
4x = 1

Divide each side by '4'.
x = 0.25

Simplifying
x = 0.25

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