0.25(x+50)-0.05(x-40)=10.5

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Solution for 0.25(x+50)-0.05(x-40)=10.5 equation: 


Simplifying
0.25(x + 50) + -0.05(x + -40) = 10.5

Reorder the terms:
0.25(50 + x) + -0.05(x + -40) = 10.5
(50 * 0.25 + x * 0.25) + -0.05(x + -40) = 10.5
(12.5 + 0.25x) + -0.05(x + -40) = 10.5

Reorder the terms:
12.5 + 0.25x + -0.05(-40 + x) = 10.5
12.5 + 0.25x + (-40 * -0.05 + x * -0.05) = 10.5
12.5 + 0.25x + (2 + -0.05x) = 10.5

Reorder the terms:
12.5 + 2 + 0.25x + -0.05x = 10.5

Combine like terms: 12.5 + 2 = 14.5
14.5 + 0.25x + -0.05x = 10.5

Combine like terms: 0.25x + -0.05x = 0.2x
14.5 + 0.2x = 10.5

Solving
14.5 + 0.2x = 10.5

Solving for variable 'x'.

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

Add '-14.5' to each side of the equation.
14.5 + -14.5 + 0.2x = 10.5 + -14.5

Combine like terms: 14.5 + -14.5 = 0.0
0.0 + 0.2x = 10.5 + -14.5
0.2x = 10.5 + -14.5

Combine like terms: 10.5 + -14.5 = -4
0.2x = -4

Divide each side by '0.2'.
x = -20

Simplifying
x = -20

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