.7(x+5)+.4(x+25)=30

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Solution for .7(x+5)+.4(x+25)=30 equation: 


Simplifying
0.7(x + 5) + 0.4(x + 25) = 30

Reorder the terms:
0.7(5 + x) + 0.4(x + 25) = 30
(5 * 0.7 + x * 0.7) + 0.4(x + 25) = 30
(3.5 + 0.7x) + 0.4(x + 25) = 30

Reorder the terms:
3.5 + 0.7x + 0.4(25 + x) = 30
3.5 + 0.7x + (25 * 0.4 + x * 0.4) = 30
3.5 + 0.7x + (10 + 0.4x) = 30

Reorder the terms:
3.5 + 10 + 0.7x + 0.4x = 30

Combine like terms: 3.5 + 10 = 13.5
13.5 + 0.7x + 0.4x = 30

Combine like terms: 0.7x + 0.4x = 1.1x
13.5 + 1.1x = 30

Solving
13.5 + 1.1x = 30

Solving for variable 'x'.

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

Add '-13.5' to each side of the equation.
13.5 + -13.5 + 1.1x = 30 + -13.5

Combine like terms: 13.5 + -13.5 = 0.0
0.0 + 1.1x = 30 + -13.5
1.1x = 30 + -13.5

Combine like terms: 30 + -13.5 = 16.5
1.1x = 16.5

Divide each side by '1.1'.
x = 15

Simplifying
x = 15

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