3x-(2x-3)=2x+9

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Solution for 3x-(2x-3)=2x+9 equation:


Simplifying
3x + -1(2x + -3) = 2x + 9

Reorder the terms:
3x + -1(-3 + 2x) = 2x + 9
3x + (-3 * -1 + 2x * -1) = 2x + 9
3x + (3 + -2x) = 2x + 9

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

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

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

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

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

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

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

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

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

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

Simplifying
x = -6

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