0.38(x+15)+0.4(x+25)=25

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Solution for 0.38(x+15)+0.4(x+25)=25 equation: 


Simplifying
0.38(x + 15) + 0.4(x + 25) = 25

Reorder the terms:
0.38(15 + x) + 0.4(x + 25) = 25
(15 * 0.38 + x * 0.38) + 0.4(x + 25) = 25
(5.7 + 0.38x) + 0.4(x + 25) = 25

Reorder the terms:
5.7 + 0.38x + 0.4(25 + x) = 25
5.7 + 0.38x + (25 * 0.4 + x * 0.4) = 25
5.7 + 0.38x + (10 + 0.4x) = 25

Reorder the terms:
5.7 + 10 + 0.38x + 0.4x = 25

Combine like terms: 5.7 + 10 = 15.7
15.7 + 0.38x + 0.4x = 25

Combine like terms: 0.38x + 0.4x = 0.78x
15.7 + 0.78x = 25

Solving
15.7 + 0.78x = 25

Solving for variable 'x'.

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

Add '-15.7' to each side of the equation.
15.7 + -15.7 + 0.78x = 25 + -15.7

Combine like terms: 15.7 + -15.7 = 0.0
0.0 + 0.78x = 25 + -15.7
0.78x = 25 + -15.7

Combine like terms: 25 + -15.7 = 9.3
0.78x = 9.3

Divide each side by '0.78'.
x = 11.92307692

Simplifying
x = 11.92307692

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