3[x+2]=-5-2[x-3]

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Solution for 3[x+2]=-5-2[x-3] equation:


Simplifying
3[x + 2] = -5 + -2[x + -3]

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

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

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

Solving
6 + 3x = 1 + -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 + 3x + 2x = 1 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
6 + 5x = 1 + 0
6 + 5x = 1

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

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

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

Divide each side by '5'.
x = -1

Simplifying
x = -1

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