0.2(x+20)-0.05(x-30)=7

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Solution for 0.2(x+20)-0.05(x-30)=7 equation: 


Simplifying
0.2(x + 20) + -0.05(x + -30) = 7

Reorder the terms:
0.2(20 + x) + -0.05(x + -30) = 7
(20 * 0.2 + x * 0.2) + -0.05(x + -30) = 7
(4 + 0.2x) + -0.05(x + -30) = 7

Reorder the terms:
4 + 0.2x + -0.05(-30 + x) = 7
4 + 0.2x + (-30 * -0.05 + x * -0.05) = 7
4 + 0.2x + (1.5 + -0.05x) = 7

Reorder the terms:
4 + 1.5 + 0.2x + -0.05x = 7

Combine like terms: 4 + 1.5 = 5.5
5.5 + 0.2x + -0.05x = 7

Combine like terms: 0.2x + -0.05x = 0.15x
5.5 + 0.15x = 7

Solving
5.5 + 0.15x = 7

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 + 0.15x = 7 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + 0.15x = 7 + -5.5
0.15x = 7 + -5.5

Combine like terms: 7 + -5.5 = 1.5
0.15x = 1.5

Divide each side by '0.15'.
x = 10

Simplifying
x = 10

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