0.25(x+2)-0.05(x-40)=15

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Solution for 0.25(x+2)-0.05(x-40)=15 equation:


Simplifying
0.25(x + 2) + -0.05(x + -40) = 15

Reorder the terms:
0.25(2 + x) + -0.05(x + -40) = 15
(2 * 0.25 + x * 0.25) + -0.05(x + -40) = 15
(0.5 + 0.25x) + -0.05(x + -40) = 15

Reorder the terms:
0.5 + 0.25x + -0.05(-40 + x) = 15
0.5 + 0.25x + (-40 * -0.05 + x * -0.05) = 15
0.5 + 0.25x + (2 + -0.05x) = 15

Reorder the terms:
0.5 + 2 + 0.25x + -0.05x = 15

Combine like terms: 0.5 + 2 = 2.5
2.5 + 0.25x + -0.05x = 15

Combine like terms: 0.25x + -0.05x = 0.2x
2.5 + 0.2x = 15

Solving
2.5 + 0.2x = 15

Solving for variable 'x'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + 0.2x = 15 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 0.2x = 15 + -2.5
0.2x = 15 + -2.5

Combine like terms: 15 + -2.5 = 12.5
0.2x = 12.5

Divide each side by '0.2'.
x = 62.5

Simplifying
x = 62.5

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