20(x+1)-10=4-2(x+1)

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Solution for 20(x+1)-10=4-2(x+1) equation: 


Simplifying
20(x + 1) + -10 = 4 + -2(x + 1)

Reorder the terms:
20(1 + x) + -10 = 4 + -2(x + 1)
(1 * 20 + x * 20) + -10 = 4 + -2(x + 1)
(20 + 20x) + -10 = 4 + -2(x + 1)

Reorder the terms:
20 + -10 + 20x = 4 + -2(x + 1)

Combine like terms: 20 + -10 = 10
10 + 20x = 4 + -2(x + 1)

Reorder the terms:
10 + 20x = 4 + -2(1 + x)
10 + 20x = 4 + (1 * -2 + x * -2)
10 + 20x = 4 + (-2 + -2x)

Combine like terms: 4 + -2 = 2
10 + 20x = 2 + -2x

Solving
10 + 20x = 2 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
10 + 20x + 2x = 2 + -2x + 2x

Combine like terms: 20x + 2x = 22x
10 + 22x = 2 + -2x + 2x

Combine like terms: -2x + 2x = 0
10 + 22x = 2 + 0
10 + 22x = 2

Add '-10' to each side of the equation.
10 + -10 + 22x = 2 + -10

Combine like terms: 10 + -10 = 0
0 + 22x = 2 + -10
22x = 2 + -10

Combine like terms: 2 + -10 = -8
22x = -8

Divide each side by '22'.
x = -0.3636363636

Simplifying
x = -0.3636363636

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