0.3(x+60)-0.05(x-20)=29

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Solution for 0.3(x+60)-0.05(x-20)=29 equation:


Simplifying
0.3(x + 60) + -0.05(x + -20) = 29

Reorder the terms:
0.3(60 + x) + -0.05(x + -20) = 29
(60 * 0.3 + x * 0.3) + -0.05(x + -20) = 29
(18 + 0.3x) + -0.05(x + -20) = 29

Reorder the terms:
18 + 0.3x + -0.05(-20 + x) = 29
18 + 0.3x + (-20 * -0.05 + x * -0.05) = 29
18 + 0.3x + (1 + -0.05x) = 29

Reorder the terms:
18 + 1 + 0.3x + -0.05x = 29

Combine like terms: 18 + 1 = 19
19 + 0.3x + -0.05x = 29

Combine like terms: 0.3x + -0.05x = 0.25x
19 + 0.25x = 29

Solving
19 + 0.25x = 29

Solving for variable 'x'.

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

Add '-19' to each side of the equation.
19 + -19 + 0.25x = 29 + -19

Combine like terms: 19 + -19 = 0
0 + 0.25x = 29 + -19
0.25x = 29 + -19

Combine like terms: 29 + -19 = 10
0.25x = 10

Divide each side by '0.25'.
x = 40

Simplifying
x = 40

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