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

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


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

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

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

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

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

Combine like terms: -6 + -3 = -9
6 + 5x = -9 + 2x

Solving
6 + 5x = -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.
6 + 5x + -2x = -9 + 2x + -2x

Combine like terms: 5x + -2x = 3x
6 + 3x = -9 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 3x = -9 + 0
6 + 3x = -9

Add '-6' to each side of the equation.
6 + -6 + 3x = -9 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = -9 + -6
3x = -9 + -6

Combine like terms: -9 + -6 = -15
3x = -15

Divide each side by '3'.
x = -5

Simplifying
x = -5

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