.30(x+15)+.40(x+25)=25

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Solution for .30(x+15)+.40(x+25)=25 equation: 


Simplifying
0.30(x + 15) + 0.40(x + 25) = 25

Reorder the terms:
0.30(15 + x) + 0.40(x + 25) = 25
(15 * 0.30 + x * 0.30) + 0.40(x + 25) = 25
(4.5 + 0.30x) + 0.40(x + 25) = 25

Reorder the terms:
4.5 + 0.30x + 0.40(25 + x) = 25
4.5 + 0.30x + (25 * 0.40 + x * 0.40) = 25
4.5 + 0.30x + (10 + 0.40x) = 25

Reorder the terms:
4.5 + 10 + 0.30x + 0.40x = 25

Combine like terms: 4.5 + 10 = 14.5
14.5 + 0.30x + 0.40x = 25

Combine like terms: 0.30x + 0.40x = 0.7x
14.5 + 0.7x = 25

Solving
14.5 + 0.7x = 25

Solving for variable 'x'.

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

Add '-14.5' to each side of the equation.
14.5 + -14.5 + 0.7x = 25 + -14.5

Combine like terms: 14.5 + -14.5 = 0.0
0.0 + 0.7x = 25 + -14.5
0.7x = 25 + -14.5

Combine like terms: 25 + -14.5 = 10.5
0.7x = 10.5

Divide each side by '0.7'.
x = 15

Simplifying
x = 15

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