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

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


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

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

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

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

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

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

Solving
-3 + 2x = -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-3 + 2x + x = -1x + x

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

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

Add '3' to each side of the equation.
-3 + 3 + 3x = 0 + 3

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

Combine like terms: 0 + 3 = 3
3x = 3

Divide each side by '3'.
x = 1

Simplifying
x = 1

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