.3(x+5)+.4(x+25)=22

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Solution for .3(x+5)+.4(x+25)=22 equation: 


Simplifying
0.3(x + 5) + 0.4(x + 25) = 22

Reorder the terms:
0.3(5 + x) + 0.4(x + 25) = 22
(5 * 0.3 + x * 0.3) + 0.4(x + 25) = 22
(1.5 + 0.3x) + 0.4(x + 25) = 22

Reorder the terms:
1.5 + 0.3x + 0.4(25 + x) = 22
1.5 + 0.3x + (25 * 0.4 + x * 0.4) = 22
1.5 + 0.3x + (10 + 0.4x) = 22

Reorder the terms:
1.5 + 10 + 0.3x + 0.4x = 22

Combine like terms: 1.5 + 10 = 11.5
11.5 + 0.3x + 0.4x = 22

Combine like terms: 0.3x + 0.4x = 0.7x
11.5 + 0.7x = 22

Solving
11.5 + 0.7x = 22

Solving for variable 'x'.

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

Add '-11.5' to each side of the equation.
11.5 + -11.5 + 0.7x = 22 + -11.5

Combine like terms: 11.5 + -11.5 = 0.0
0.0 + 0.7x = 22 + -11.5
0.7x = 22 + -11.5

Combine like terms: 22 + -11.5 = 10.5
0.7x = 10.5

Divide each side by '0.7'.
x = 15

Simplifying
x = 15

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