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

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


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

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

Reorder the terms:
-6 + 6x + -2x = 2x + 1

Combine like terms: 6x + -2x = 4x
-6 + 4x = 2x + 1

Reorder the terms:
-6 + 4x = 1 + 2x

Solving
-6 + 4x = 1 + 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.
-6 + 4x + -2x = 1 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-6 + 2x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + 2x = 1 + 0
-6 + 2x = 1

Add '6' to each side of the equation.
-6 + 6 + 2x = 1 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = 1 + 6
2x = 1 + 6

Combine like terms: 1 + 6 = 7
2x = 7

Divide each side by '2'.
x = 3.5

Simplifying
x = 3.5

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