6x-14=2(x+3)

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Solution for 6x-14=2(x+3) equation: 


Simplifying
6x + -14 = 2(x + 3)

Reorder the terms:
-14 + 6x = 2(x + 3)

Reorder the terms:
-14 + 6x = 2(3 + x)
-14 + 6x = (3 * 2 + x * 2)
-14 + 6x = (6 + 2x)

Solving
-14 + 6x = 6 + 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.
-14 + 6x + -2x = 6 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-14 + 4x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-14 + 4x = 6 + 0
-14 + 4x = 6

Add '14' to each side of the equation.
-14 + 14 + 4x = 6 + 14

Combine like terms: -14 + 14 = 0
0 + 4x = 6 + 14
4x = 6 + 14

Combine like terms: 6 + 14 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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