0.05(x+30)-0.02(x-10)=0.5

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Solution for 0.05(x+30)-0.02(x-10)=0.5 equation: 


Simplifying
0.05(x + 30) + -0.02(x + -10) = 0.5

Reorder the terms:
0.05(30 + x) + -0.02(x + -10) = 0.5
(30 * 0.05 + x * 0.05) + -0.02(x + -10) = 0.5
(1.5 + 0.05x) + -0.02(x + -10) = 0.5

Reorder the terms:
1.5 + 0.05x + -0.02(-10 + x) = 0.5
1.5 + 0.05x + (-10 * -0.02 + x * -0.02) = 0.5
1.5 + 0.05x + (0.2 + -0.02x) = 0.5

Reorder the terms:
1.5 + 0.2 + 0.05x + -0.02x = 0.5

Combine like terms: 1.5 + 0.2 = 1.7
1.7 + 0.05x + -0.02x = 0.5

Combine like terms: 0.05x + -0.02x = 0.03x
1.7 + 0.03x = 0.5

Solving
1.7 + 0.03x = 0.5

Solving for variable 'x'.

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

Add '-1.7' to each side of the equation.
1.7 + -1.7 + 0.03x = 0.5 + -1.7

Combine like terms: 1.7 + -1.7 = 0.0
0.0 + 0.03x = 0.5 + -1.7
0.03x = 0.5 + -1.7

Combine like terms: 0.5 + -1.7 = -1.2
0.03x = -1.2

Divide each side by '0.03'.
x = -40

Simplifying
x = -40

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