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

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


Simplifying
4(3 + x) = 20 + 2(x + -1)
(3 * 4 + x * 4) = 20 + 2(x + -1)
(12 + 4x) = 20 + 2(x + -1)

Reorder the terms:
12 + 4x = 20 + 2(-1 + x)
12 + 4x = 20 + (-1 * 2 + x * 2)
12 + 4x = 20 + (-2 + 2x)

Combine like terms: 20 + -2 = 18
12 + 4x = 18 + 2x

Solving
12 + 4x = 18 + 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.
12 + 4x + -2x = 18 + 2x + -2x

Combine like terms: 4x + -2x = 2x
12 + 2x = 18 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + 2x = 18 + 0
12 + 2x = 18

Add '-12' to each side of the equation.
12 + -12 + 2x = 18 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = 18 + -12
2x = 18 + -12

Combine like terms: 18 + -12 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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