0.7(x+5)+0.4(x+25)=19

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Solution for 0.7(x+5)+0.4(x+25)=19 equation: 


Simplifying
0.7(x + 5) + 0.4(x + 25) = 19

Reorder the terms:
0.7(5 + x) + 0.4(x + 25) = 19
(5 * 0.7 + x * 0.7) + 0.4(x + 25) = 19
(3.5 + 0.7x) + 0.4(x + 25) = 19

Reorder the terms:
3.5 + 0.7x + 0.4(25 + x) = 19
3.5 + 0.7x + (25 * 0.4 + x * 0.4) = 19
3.5 + 0.7x + (10 + 0.4x) = 19

Reorder the terms:
3.5 + 10 + 0.7x + 0.4x = 19

Combine like terms: 3.5 + 10 = 13.5
13.5 + 0.7x + 0.4x = 19

Combine like terms: 0.7x + 0.4x = 1.1x
13.5 + 1.1x = 19

Solving
13.5 + 1.1x = 19

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 = 19 + -13.5

Combine like terms: 13.5 + -13.5 = 0.0
0.0 + 1.1x = 19 + -13.5
1.1x = 19 + -13.5

Combine like terms: 19 + -13.5 = 5.5
1.1x = 5.5

Divide each side by '1.1'.
x = 5

Simplifying
x = 5

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