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 = 19
-23 + 2x = 19 + -3x

Solving
-23 + 2x = 19 + -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 = 19 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-23 + 5x = 19 + -3x + 3x

Combine like terms: -3x + 3x = 0
-23 + 5x = 19 + 0
-23 + 5x = 19

Add '23' to each side of the equation.
-23 + 23 + 5x = 19 + 23

Combine like terms: -23 + 23 = 0
0 + 5x = 19 + 23
5x = 19 + 23

Combine like terms: 19 + 23 = 42
5x = 42

Divide each side by '5'.
x = 8.4

Simplifying
x = 8.4

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