0.05(x+30)-0.02(x-20)=3.4

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Solution for 0.05(x+30)-0.02(x-20)=3.4 equation: 


Simplifying
0.05(x + 30) + -0.02(x + -20) = 3.4

Reorder the terms:
0.05(30 + x) + -0.02(x + -20) = 3.4
(30 * 0.05 + x * 0.05) + -0.02(x + -20) = 3.4
(1.5 + 0.05x) + -0.02(x + -20) = 3.4

Reorder the terms:
1.5 + 0.05x + -0.02(-20 + x) = 3.4
1.5 + 0.05x + (-20 * -0.02 + x * -0.02) = 3.4
1.5 + 0.05x + (0.4 + -0.02x) = 3.4

Reorder the terms:
1.5 + 0.4 + 0.05x + -0.02x = 3.4

Combine like terms: 1.5 + 0.4 = 1.9
1.9 + 0.05x + -0.02x = 3.4

Combine like terms: 0.05x + -0.02x = 0.03x
1.9 + 0.03x = 3.4

Solving
1.9 + 0.03x = 3.4

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 + 0.03x = 3.4 + -1.9

Combine like terms: 1.9 + -1.9 = 0.0
0.0 + 0.03x = 3.4 + -1.9
0.03x = 3.4 + -1.9

Combine like terms: 3.4 + -1.9 = 1.5
0.03x = 1.5

Divide each side by '0.03'.
x = 50

Simplifying
x = 50

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