2(x+1)=20-4(x-3)

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Solution for 2(x+1)=20-4(x-3) equation: 


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

Reorder the terms:
2(1 + x) = 20 + -4(x + -3)
(1 * 2 + x * 2) = 20 + -4(x + -3)
(2 + 2x) = 20 + -4(x + -3)

Reorder the terms:
2 + 2x = 20 + -4(-3 + x)
2 + 2x = 20 + (-3 * -4 + x * -4)
2 + 2x = 20 + (12 + -4x)

Combine like terms: 20 + 12 = 32
2 + 2x = 32 + -4x

Solving
2 + 2x = 32 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
2 + 2x + 4x = 32 + -4x + 4x

Combine like terms: 2x + 4x = 6x
2 + 6x = 32 + -4x + 4x

Combine like terms: -4x + 4x = 0
2 + 6x = 32 + 0
2 + 6x = 32

Add '-2' to each side of the equation.
2 + -2 + 6x = 32 + -2

Combine like terms: 2 + -2 = 0
0 + 6x = 32 + -2
6x = 32 + -2

Combine like terms: 32 + -2 = 30
6x = 30

Divide each side by '6'.
x = 5

Simplifying
x = 5

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