2(x+3)=3x-5

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Solution for 2(x+3)=3x-5 equation:


Simplifying
2(x + 3) = 3x + -5

Reorder the terms:
2(3 + x) = 3x + -5
(3 * 2 + x * 2) = 3x + -5
(6 + 2x) = 3x + -5

Reorder the terms:
6 + 2x = -5 + 3x

Solving
6 + 2x = -5 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
6 + 2x + -3x = -5 + 3x + -3x

Combine like terms: 2x + -3x = -1x
6 + -1x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -1x = -5 + 0
6 + -1x = -5

Add '-6' to each side of the equation.
6 + -6 + -1x = -5 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = -5 + -6
-1x = -5 + -6

Combine like terms: -5 + -6 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11

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