.75(x+40)=.35(x+20)+.35(x+20)

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Solution for .75(x+40)=.35(x+20)+.35(x+20) equation: 


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

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

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

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

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

Combine like terms: 7 + 7 = 14
30 + 0.75x = 14 + 0.35x + 0.35x

Combine like terms: 0.35x + 0.35x = 0.7x
30 + 0.75x = 14 + 0.7x

Solving
30 + 0.75x = 14 + 0.7x

Solving for variable 'x'.

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

Add '-0.7x' to each side of the equation.
30 + 0.75x + -0.7x = 14 + 0.7x + -0.7x

Combine like terms: 0.75x + -0.7x = 0.05x
30 + 0.05x = 14 + 0.7x + -0.7x

Combine like terms: 0.7x + -0.7x = 0.0
30 + 0.05x = 14 + 0.0
30 + 0.05x = 14

Add '-30' to each side of the equation.
30 + -30 + 0.05x = 14 + -30

Combine like terms: 30 + -30 = 0
0 + 0.05x = 14 + -30
0.05x = 14 + -30

Combine like terms: 14 + -30 = -16
0.05x = -16

Divide each side by '0.05'.
x = -320

Simplifying
x = -320

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