2(20+2x)=3(20-x)

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Solution for 2(20+2x)=3(20-x) equation:


Simplifying
2(20 + 2x) = 3(20 + -1x)
(20 * 2 + 2x * 2) = 3(20 + -1x)
(40 + 4x) = 3(20 + -1x)
40 + 4x = (20 * 3 + -1x * 3)
40 + 4x = (60 + -3x)

Solving
40 + 4x = 60 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
40 + 4x + 3x = 60 + -3x + 3x

Combine like terms: 4x + 3x = 7x
40 + 7x = 60 + -3x + 3x

Combine like terms: -3x + 3x = 0
40 + 7x = 60 + 0
40 + 7x = 60

Add '-40' to each side of the equation.
40 + -40 + 7x = 60 + -40

Combine like terms: 40 + -40 = 0
0 + 7x = 60 + -40
7x = 60 + -40

Combine like terms: 60 + -40 = 20
7x = 20

Divide each side by '7'.
x = 2.857142857

Simplifying
x = 2.857142857

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