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

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

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

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

Reorder the terms:
6 + 3x = 5[-2 + x]
6 + 3x = [-2 * 5 + x * 5]
6 + 3x = [-10 + 5x]

Solving
6 + 3x = -10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + 3x + -5x = -10 + 5x + -5x

Combine like terms: 3x + -5x = -2x
6 + -2x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -2x = -10 + 0
6 + -2x = -10

Add '-6' to each side of the equation.
6 + -6 + -2x = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = -10 + -6
-2x = -10 + -6

Combine like terms: -10 + -6 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8`