6(x+2)=5x+16

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Solution for 6(x+2)=5x+16 equation:


Simplifying
6(x + 2) = 5x + 16

Reorder the terms:
6(2 + x) = 5x + 16
(2 * 6 + x * 6) = 5x + 16
(12 + 6x) = 5x + 16

Reorder the terms:
12 + 6x = 16 + 5x

Solving
12 + 6x = 16 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
12 + 6x + -5x = 16 + 5x + -5x

Combine like terms: 6x + -5x = 1x
12 + 1x = 16 + 5x + -5x

Combine like terms: 5x + -5x = 0
12 + 1x = 16 + 0
12 + 1x = 16

Add '-12' to each side of the equation.
12 + -12 + 1x = 16 + -12

Combine like terms: 12 + -12 = 0
0 + 1x = 16 + -12
1x = 16 + -12

Combine like terms: 16 + -12 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4

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