6(x+3)-2(x-1)=16

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Solution for 6(x+3)-2(x-1)=16 equation: 


Simplifying
6(x + 3) + -2(x + -1) = 16

Reorder the terms:
6(3 + x) + -2(x + -1) = 16
(3 * 6 + x * 6) + -2(x + -1) = 16
(18 + 6x) + -2(x + -1) = 16

Reorder the terms:
18 + 6x + -2(-1 + x) = 16
18 + 6x + (-1 * -2 + x * -2) = 16
18 + 6x + (2 + -2x) = 16

Reorder the terms:
18 + 2 + 6x + -2x = 16

Combine like terms: 18 + 2 = 20
20 + 6x + -2x = 16

Combine like terms: 6x + -2x = 4x
20 + 4x = 16

Solving
20 + 4x = 16

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + 4x = 16 + -20

Combine like terms: 20 + -20 = 0
0 + 4x = 16 + -20
4x = 16 + -20

Combine like terms: 16 + -20 = -4
4x = -4

Divide each side by '4'.
x = -1

Simplifying
x = -1

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