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

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


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

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

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

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

Combine like terms: 6 + 3 = 9
9 + 2x + -1x = 2x + 3

Combine like terms: 2x + -1x = 1x
9 + 1x = 2x + 3

Reorder the terms:
9 + 1x = 3 + 2x

Solving
9 + 1x = 3 + 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.
9 + 1x + -2x = 3 + 2x + -2x

Combine like terms: 1x + -2x = -1x
9 + -1x = 3 + 2x + -2x

Combine like terms: 2x + -2x = 0
9 + -1x = 3 + 0
9 + -1x = 3

Add '-9' to each side of the equation.
9 + -9 + -1x = 3 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 3 + -9
-1x = 3 + -9

Combine like terms: 3 + -9 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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