-1.5(x-10)+5x=.25(2x-20)+11

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Solution for -1.5(x-10)+5x=.25(2x-20)+11 equation:


Simplifying
-1.5(x + -10) + 5x = 0.25(2x + -20) + 11

Reorder the terms:
-1.5(-10 + x) + 5x = 0.25(2x + -20) + 11
(-10 * -1.5 + x * -1.5) + 5x = 0.25(2x + -20) + 11
(15 + -1.5x) + 5x = 0.25(2x + -20) + 11

Combine like terms: -1.5x + 5x = 3.5x
15 + 3.5x = 0.25(2x + -20) + 11

Reorder the terms:
15 + 3.5x = 0.25(-20 + 2x) + 11
15 + 3.5x = (-20 * 0.25 + 2x * 0.25) + 11
15 + 3.5x = (-5 + 0.5x) + 11

Reorder the terms:
15 + 3.5x = -5 + 11 + 0.5x

Combine like terms: -5 + 11 = 6
15 + 3.5x = 6 + 0.5x

Solving
15 + 3.5x = 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.
15 + 3.5x + -0.5x = 6 + 0.5x + -0.5x

Combine like terms: 3.5x + -0.5x = 3x
15 + 3x = 6 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
15 + 3x = 6 + 0.0
15 + 3x = 6

Add '-15' to each side of the equation.
15 + -15 + 3x = 6 + -15

Combine like terms: 15 + -15 = 0
0 + 3x = 6 + -15
3x = 6 + -15

Combine like terms: 6 + -15 = -9
3x = -9

Divide each side by '3'.
x = -3

Simplifying
x = -3

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