2(x+3)-17=20-3(x-3)

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Solution for 2(x+3)-17=20-3(x-3) equation:


Simplifying
2(x + 3) + -17 = 20 + -3(x + -3)

Reorder the terms:
2(3 + x) + -17 = 20 + -3(x + -3)
(3 * 2 + x * 2) + -17 = 20 + -3(x + -3)
(6 + 2x) + -17 = 20 + -3(x + -3)

Reorder the terms:
6 + -17 + 2x = 20 + -3(x + -3)

Combine like terms: 6 + -17 = -11
-11 + 2x = 20 + -3(x + -3)

Reorder the terms:
-11 + 2x = 20 + -3(-3 + x)
-11 + 2x = 20 + (-3 * -3 + x * -3)
-11 + 2x = 20 + (9 + -3x)

Combine like terms: 20 + 9 = 29
-11 + 2x = 29 + -3x

Solving
-11 + 2x = 29 + -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.
-11 + 2x + 3x = 29 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-11 + 5x = 29 + -3x + 3x

Combine like terms: -3x + 3x = 0
-11 + 5x = 29 + 0
-11 + 5x = 29

Add '11' to each side of the equation.
-11 + 11 + 5x = 29 + 11

Combine like terms: -11 + 11 = 0
0 + 5x = 29 + 11
5x = 29 + 11

Combine like terms: 29 + 11 = 40
5x = 40

Divide each side by '5'.
x = 8

Simplifying
x = 8

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