2[x-3]-17=13-3[x+2]

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Solution for 2[x-3]-17=13-3[x+2] equation:


Simplifying
2[x + -3] + -17 = 13 + -3[x + 2]

Reorder the terms:
2[-3 + x] + -17 = 13 + -3[x + 2]
[-3 * 2 + x * 2] + -17 = 13 + -3[x + 2]
[-6 + 2x] + -17 = 13 + -3[x + 2]

Reorder the terms:
-6 + -17 + 2x = 13 + -3[x + 2]

Combine like terms: -6 + -17 = -23
-23 + 2x = 13 + -3[x + 2]

Reorder the terms:
-23 + 2x = 13 + -3[2 + x]
-23 + 2x = 13 + [2 * -3 + x * -3]
-23 + 2x = 13 + [-6 + -3x]

Combine like terms: 13 + -6 = 7
-23 + 2x = 7 + -3x

Solving
-23 + 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.
-23 + 2x + 3x = 7 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-23 + 5x = 7 + -3x + 3x

Combine like terms: -3x + 3x = 0
-23 + 5x = 7 + 0
-23 + 5x = 7

Add '23' to each side of the equation.
-23 + 23 + 5x = 7 + 23

Combine like terms: -23 + 23 = 0
0 + 5x = 7 + 23
5x = 7 + 23

Combine like terms: 7 + 23 = 30
5x = 30

Divide each side by '5'.
x = 6

Simplifying
x = 6

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