0.80(x+20)+0.40x=52

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Solution for 0.80(x+20)+0.40x=52 equation: 


Simplifying
0.80(x + 20) + 0.40x = 52

Reorder the terms:
0.80(20 + x) + 0.40x = 52
(20 * 0.80 + x * 0.80) + 0.40x = 52
(16 + 0.80x) + 0.40x = 52

Combine like terms: 0.80x + 0.40x = 1.2x
16 + 1.2x = 52

Solving
16 + 1.2x = 52

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 1.2x = 52 + -16

Combine like terms: 16 + -16 = 0
0 + 1.2x = 52 + -16
1.2x = 52 + -16

Combine like terms: 52 + -16 = 36
1.2x = 36

Divide each side by '1.2'.
x = 30

Simplifying
x = 30

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