7x-17=3(x+9)

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Solution for 7x-17=3(x+9) equation:


Simplifying
7x + -17 = 3(x + 9)

Reorder the terms:
-17 + 7x = 3(x + 9)

Reorder the terms:
-17 + 7x = 3(9 + x)
-17 + 7x = (9 * 3 + x * 3)
-17 + 7x = (27 + 3x)

Solving
-17 + 7x = 27 + 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.
-17 + 7x + -3x = 27 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-17 + 4x = 27 + 3x + -3x

Combine like terms: 3x + -3x = 0
-17 + 4x = 27 + 0
-17 + 4x = 27

Add '17' to each side of the equation.
-17 + 17 + 4x = 27 + 17

Combine like terms: -17 + 17 = 0
0 + 4x = 27 + 17
4x = 27 + 17

Combine like terms: 27 + 17 = 44
4x = 44

Divide each side by '4'.
x = 11

Simplifying
x = 11

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