0.7(x+5)+0.2(x+25)=13

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Solution for 0.7(x+5)+0.2(x+25)=13 equation: 


Simplifying
0.7(x + 5) + 0.2(x + 25) = 13

Reorder the terms:
0.7(5 + x) + 0.2(x + 25) = 13
(5 * 0.7 + x * 0.7) + 0.2(x + 25) = 13
(3.5 + 0.7x) + 0.2(x + 25) = 13

Reorder the terms:
3.5 + 0.7x + 0.2(25 + x) = 13
3.5 + 0.7x + (25 * 0.2 + x * 0.2) = 13
3.5 + 0.7x + (5 + 0.2x) = 13

Reorder the terms:
3.5 + 5 + 0.7x + 0.2x = 13

Combine like terms: 3.5 + 5 = 8.5
8.5 + 0.7x + 0.2x = 13

Combine like terms: 0.7x + 0.2x = 0.9x
8.5 + 0.9x = 13

Solving
8.5 + 0.9x = 13

Solving for variable 'x'.

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

Add '-8.5' to each side of the equation.
8.5 + -8.5 + 0.9x = 13 + -8.5

Combine like terms: 8.5 + -8.5 = 0.0
0.0 + 0.9x = 13 + -8.5
0.9x = 13 + -8.5

Combine like terms: 13 + -8.5 = 4.5
0.9x = 4.5

Divide each side by '0.9'.
x = 5

Simplifying
x = 5

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