4(x+2)=16+2(x-1)

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Solution for 4(x+2)=16+2(x-1) equation:


Simplifying
4(x + 2) = 16 + 2(x + -1)

Reorder the terms:
4(2 + x) = 16 + 2(x + -1)
(2 * 4 + x * 4) = 16 + 2(x + -1)
(8 + 4x) = 16 + 2(x + -1)

Reorder the terms:
8 + 4x = 16 + 2(-1 + x)
8 + 4x = 16 + (-1 * 2 + x * 2)
8 + 4x = 16 + (-2 + 2x)

Combine like terms: 16 + -2 = 14
8 + 4x = 14 + 2x

Solving
8 + 4x = 14 + 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.
8 + 4x + -2x = 14 + 2x + -2x

Combine like terms: 4x + -2x = 2x
8 + 2x = 14 + 2x + -2x

Combine like terms: 2x + -2x = 0
8 + 2x = 14 + 0
8 + 2x = 14

Add '-8' to each side of the equation.
8 + -8 + 2x = 14 + -8

Combine like terms: 8 + -8 = 0
0 + 2x = 14 + -8
2x = 14 + -8

Combine like terms: 14 + -8 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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