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

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


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

Reorder the terms:
3(-3 + 2x) + 2 = 3x + 17
(-3 * 3 + 2x * 3) + 2 = 3x + 17
(-9 + 6x) + 2 = 3x + 17

Reorder the terms:
-9 + 2 + 6x = 3x + 17

Combine like terms: -9 + 2 = -7
-7 + 6x = 3x + 17

Reorder the terms:
-7 + 6x = 17 + 3x

Solving
-7 + 6x = 17 + 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.
-7 + 6x + -3x = 17 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-7 + 3x = 17 + 3x + -3x

Combine like terms: 3x + -3x = 0
-7 + 3x = 17 + 0
-7 + 3x = 17

Add '7' to each side of the equation.
-7 + 7 + 3x = 17 + 7

Combine like terms: -7 + 7 = 0
0 + 3x = 17 + 7
3x = 17 + 7

Combine like terms: 17 + 7 = 24
3x = 24

Divide each side by '3'.
x = 8

Simplifying
x = 8

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