3(x-2)-17=13-2(x+3)

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Solution for 3(x-2)-17=13-2(x+3) equation:


Simplifying
3(x + -2) + -17 = 13 + -2(x + 3)

Reorder the terms:
3(-2 + x) + -17 = 13 + -2(x + 3)
(-2 * 3 + x * 3) + -17 = 13 + -2(x + 3)
(-6 + 3x) + -17 = 13 + -2(x + 3)

Reorder the terms:
-6 + -17 + 3x = 13 + -2(x + 3)

Combine like terms: -6 + -17 = -23
-23 + 3x = 13 + -2(x + 3)

Reorder the terms:
-23 + 3x = 13 + -2(3 + x)
-23 + 3x = 13 + (3 * -2 + x * -2)
-23 + 3x = 13 + (-6 + -2x)

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

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

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

Combine like terms: -2x + 2x = 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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