0.75(x+40)=0.35(x+20)+35(x+20)

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Solution for 0.75(x+40)=0.35(x+20)+35(x+20) equation: 


Simplifying
0.75(x + 40) = 0.35(x + 20) + 35(x + 20)

Reorder the terms:
0.75(40 + x) = 0.35(x + 20) + 35(x + 20)
(40 * 0.75 + x * 0.75) = 0.35(x + 20) + 35(x + 20)
(30 + 0.75x) = 0.35(x + 20) + 35(x + 20)

Reorder the terms:
30 + 0.75x = 0.35(20 + x) + 35(x + 20)
30 + 0.75x = (20 * 0.35 + x * 0.35) + 35(x + 20)
30 + 0.75x = (7 + 0.35x) + 35(x + 20)

Reorder the terms:
30 + 0.75x = 7 + 0.35x + 35(20 + x)
30 + 0.75x = 7 + 0.35x + (20 * 35 + x * 35)
30 + 0.75x = 7 + 0.35x + (700 + 35x)

Reorder the terms:
30 + 0.75x = 7 + 700 + 0.35x + 35x

Combine like terms: 7 + 700 = 707
30 + 0.75x = 707 + 0.35x + 35x

Combine like terms: 0.35x + 35x = 35.35x
30 + 0.75x = 707 + 35.35x

Solving
30 + 0.75x = 707 + 35.35x

Solving for variable 'x'.

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

Add '-35.35x' to each side of the equation.
30 + 0.75x + -35.35x = 707 + 35.35x + -35.35x

Combine like terms: 0.75x + -35.35x = -34.6x
30 + -34.6x = 707 + 35.35x + -35.35x

Combine like terms: 35.35x + -35.35x = 0.00
30 + -34.6x = 707 + 0.00
30 + -34.6x = 707

Add '-30' to each side of the equation.
30 + -30 + -34.6x = 707 + -30

Combine like terms: 30 + -30 = 0
0 + -34.6x = 707 + -30
-34.6x = 707 + -30

Combine like terms: 707 + -30 = 677
-34.6x = 677

Divide each side by '-34.6'.
x = -19.56647399

Simplifying
x = -19.56647399

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