0.7(x+15)+0.2(x+25)=38

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Solution for 0.7(x+15)+0.2(x+25)=38 equation: 


Simplifying
0.7(x + 15) + 0.2(x + 25) = 38

Reorder the terms:
0.7(15 + x) + 0.2(x + 25) = 38
(15 * 0.7 + x * 0.7) + 0.2(x + 25) = 38
(10.5 + 0.7x) + 0.2(x + 25) = 38

Reorder the terms:
10.5 + 0.7x + 0.2(25 + x) = 38
10.5 + 0.7x + (25 * 0.2 + x * 0.2) = 38
10.5 + 0.7x + (5 + 0.2x) = 38

Reorder the terms:
10.5 + 5 + 0.7x + 0.2x = 38

Combine like terms: 10.5 + 5 = 15.5
15.5 + 0.7x + 0.2x = 38

Combine like terms: 0.7x + 0.2x = 0.9x
15.5 + 0.9x = 38

Solving
15.5 + 0.9x = 38

Solving for variable 'x'.

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

Add '-15.5' to each side of the equation.
15.5 + -15.5 + 0.9x = 38 + -15.5

Combine like terms: 15.5 + -15.5 = 0.0
0.0 + 0.9x = 38 + -15.5
0.9x = 38 + -15.5

Combine like terms: 38 + -15.5 = 22.5
0.9x = 22.5

Divide each side by '0.9'.
x = 25

Simplifying
x = 25

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