0.5(x+5)+0.2(x+25)=11

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Solution for 0.5(x+5)+0.2(x+25)=11 equation: 


Simplifying
0.5(x + 5) + 0.2(x + 25) = 11

Reorder the terms:
0.5(5 + x) + 0.2(x + 25) = 11
(5 * 0.5 + x * 0.5) + 0.2(x + 25) = 11
(2.5 + 0.5x) + 0.2(x + 25) = 11

Reorder the terms:
2.5 + 0.5x + 0.2(25 + x) = 11
2.5 + 0.5x + (25 * 0.2 + x * 0.2) = 11
2.5 + 0.5x + (5 + 0.2x) = 11

Reorder the terms:
2.5 + 5 + 0.5x + 0.2x = 11

Combine like terms: 2.5 + 5 = 7.5
7.5 + 0.5x + 0.2x = 11

Combine like terms: 0.5x + 0.2x = 0.7x
7.5 + 0.7x = 11

Solving
7.5 + 0.7x = 11

Solving for variable 'x'.

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

Add '-7.5' to each side of the equation.
7.5 + -7.5 + 0.7x = 11 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + 0.7x = 11 + -7.5
0.7x = 11 + -7.5

Combine like terms: 11 + -7.5 = 3.5
0.7x = 3.5

Divide each side by '0.7'.
x = 5

Simplifying
x = 5

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