2(3x+1)=2x+22

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Solution for 2(3x+1)=2x+22 equation:


Simplifying
2(3x + 1) = 2x + 22

Reorder the terms:
2(1 + 3x) = 2x + 22
(1 * 2 + 3x * 2) = 2x + 22
(2 + 6x) = 2x + 22

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

Solving
2 + 6x = 22 + 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.
2 + 6x + -2x = 22 + 2x + -2x

Combine like terms: 6x + -2x = 4x
2 + 4x = 22 + 2x + -2x

Combine like terms: 2x + -2x = 0
2 + 4x = 22 + 0
2 + 4x = 22

Add '-2' to each side of the equation.
2 + -2 + 4x = 22 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = 22 + -2
4x = 22 + -2

Combine like terms: 22 + -2 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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