0.7(x+15)+0.4(x+25)=26

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Solution for 0.7(x+15)+0.4(x+25)=26 equation: 


Simplifying
0.7(x + 15) + 0.4(x + 25) = 26

Reorder the terms:
0.7(15 + x) + 0.4(x + 25) = 26
(15 * 0.7 + x * 0.7) + 0.4(x + 25) = 26
(10.5 + 0.7x) + 0.4(x + 25) = 26

Reorder the terms:
10.5 + 0.7x + 0.4(25 + x) = 26
10.5 + 0.7x + (25 * 0.4 + x * 0.4) = 26
10.5 + 0.7x + (10 + 0.4x) = 26

Reorder the terms:
10.5 + 10 + 0.7x + 0.4x = 26

Combine like terms: 10.5 + 10 = 20.5
20.5 + 0.7x + 0.4x = 26

Combine like terms: 0.7x + 0.4x = 1.1x
20.5 + 1.1x = 26

Solving
20.5 + 1.1x = 26

Solving for variable 'x'.

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

Add '-20.5' to each side of the equation.
20.5 + -20.5 + 1.1x = 26 + -20.5

Combine like terms: 20.5 + -20.5 = 0.0
0.0 + 1.1x = 26 + -20.5
1.1x = 26 + -20.5

Combine like terms: 26 + -20.5 = 5.5
1.1x = 5.5

Divide each side by '1.1'.
x = 5

Simplifying
x = 5

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