0.7(x+80)+0.9x=120

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Solution for 0.7(x+80)+0.9x=120 equation: 


Simplifying
0.7(x + 80) + 0.9x = 120

Reorder the terms:
0.7(80 + x) + 0.9x = 120
(80 * 0.7 + x * 0.7) + 0.9x = 120
(56 + 0.7x) + 0.9x = 120

Combine like terms: 0.7x + 0.9x = 1.6x
56 + 1.6x = 120

Solving
56 + 1.6x = 120

Solving for variable 'x'.

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

Add '-56' to each side of the equation.
56 + -56 + 1.6x = 120 + -56

Combine like terms: 56 + -56 = 0
0 + 1.6x = 120 + -56
1.6x = 120 + -56

Combine like terms: 120 + -56 = 64
1.6x = 64

Divide each side by '1.6'.
x = 40

Simplifying
x = 40

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