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

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


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

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

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

Combine like terms: 2 + -9 = -7
3 + 2x = -7 + -3x

Solving
3 + 2x = -7 + -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.
3 + 2x + 3x = -7 + -3x + 3x

Combine like terms: 2x + 3x = 5x
3 + 5x = -7 + -3x + 3x

Combine like terms: -3x + 3x = 0
3 + 5x = -7 + 0
3 + 5x = -7

Add '-3' to each side of the equation.
3 + -3 + 5x = -7 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = -7 + -3
5x = -7 + -3

Combine like terms: -7 + -3 = -10
5x = -10

Divide each side by '5'.
x = -2

Simplifying
x = -2

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