3(x+6)+4=6x+2

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Solution for 3(x+6)+4=6x+2 equation:


Simplifying
3(x + 6) + 4 = 6x + 2

Reorder the terms:
3(6 + x) + 4 = 6x + 2
(6 * 3 + x * 3) + 4 = 6x + 2
(18 + 3x) + 4 = 6x + 2

Reorder the terms:
18 + 4 + 3x = 6x + 2

Combine like terms: 18 + 4 = 22
22 + 3x = 6x + 2

Reorder the terms:
22 + 3x = 2 + 6x

Solving
22 + 3x = 2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
22 + 3x + -6x = 2 + 6x + -6x

Combine like terms: 3x + -6x = -3x
22 + -3x = 2 + 6x + -6x

Combine like terms: 6x + -6x = 0
22 + -3x = 2 + 0
22 + -3x = 2

Add '-22' to each side of the equation.
22 + -22 + -3x = 2 + -22

Combine like terms: 22 + -22 = 0
0 + -3x = 2 + -22
-3x = 2 + -22

Combine like terms: 2 + -22 = -20
-3x = -20

Divide each side by '-3'.
x = 6.666666667

Simplifying
x = 6.666666667

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