0.1(x+40)-0.05(x-30)=2.5

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Solution for 0.1(x+40)-0.05(x-30)=2.5 equation: 


Simplifying
0.1(x + 40) + -0.05(x + -30) = 2.5

Reorder the terms:
0.1(40 + x) + -0.05(x + -30) = 2.5
(40 * 0.1 + x * 0.1) + -0.05(x + -30) = 2.5
(4 + 0.1x) + -0.05(x + -30) = 2.5

Reorder the terms:
4 + 0.1x + -0.05(-30 + x) = 2.5
4 + 0.1x + (-30 * -0.05 + x * -0.05) = 2.5
4 + 0.1x + (1.5 + -0.05x) = 2.5

Reorder the terms:
4 + 1.5 + 0.1x + -0.05x = 2.5

Combine like terms: 4 + 1.5 = 5.5
5.5 + 0.1x + -0.05x = 2.5

Combine like terms: 0.1x + -0.05x = 0.05x
5.5 + 0.05x = 2.5

Solving
5.5 + 0.05x = 2.5

Solving for variable 'x'.

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

Add '-5.5' to each side of the equation.
5.5 + -5.5 + 0.05x = 2.5 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + 0.05x = 2.5 + -5.5
0.05x = 2.5 + -5.5

Combine like terms: 2.5 + -5.5 = -3
0.05x = -3

Divide each side by '0.05'.
x = -60

Simplifying
x = -60

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