0.05(x+30)-0.04(x-10)=2.2

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Solution for 0.05(x+30)-0.04(x-10)=2.2 equation: 


Simplifying
0.05(x + 30) + -0.04(x + -10) = 2.2

Reorder the terms:
0.05(30 + x) + -0.04(x + -10) = 2.2
(30 * 0.05 + x * 0.05) + -0.04(x + -10) = 2.2
(1.5 + 0.05x) + -0.04(x + -10) = 2.2

Reorder the terms:
1.5 + 0.05x + -0.04(-10 + x) = 2.2
1.5 + 0.05x + (-10 * -0.04 + x * -0.04) = 2.2
1.5 + 0.05x + (0.4 + -0.04x) = 2.2

Reorder the terms:
1.5 + 0.4 + 0.05x + -0.04x = 2.2

Combine like terms: 1.5 + 0.4 = 1.9
1.9 + 0.05x + -0.04x = 2.2

Combine like terms: 0.05x + -0.04x = 0.01x
1.9 + 0.01x = 2.2

Solving
1.9 + 0.01x = 2.2

Solving for variable 'x'.

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

Add '-1.9' to each side of the equation.
1.9 + -1.9 + 0.01x = 2.2 + -1.9

Combine like terms: 1.9 + -1.9 = 0.0
0.0 + 0.01x = 2.2 + -1.9
0.01x = 2.2 + -1.9

Combine like terms: 2.2 + -1.9 = 0.3
0.01x = 0.3

Divide each side by '0.01'.
x = 30

Simplifying
x = 30

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