Solve for x

(3x+5) = (9x-17)

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Step-by-step explanation:

Simplifying

3x + 5 = 9x + - 17

Reorder the terms:

5 + 3x = 9x + - 17

Reorder the terms:

5 + 3x = - 17 + 9x

Solving

5 + 3x = - 17 + 9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9x' to each side of the equation.

5 + 3x + - 9x = - 17 + 9x + - 9x

Combine like terms: 3x + - 9x = - 6x

5 + - 6x = - 17 + 9x + - 9x

Combine like terms: 9x + - 9x = 0

5 + - 6x = - 17 + 0

5 + - 6x = - 17

Add '-5' to each side of the equation.

5 + - 5 + - 6x = - 17 + - 5

Combine like terms: 5 + - 5 = 0

0 + - 6x = - 17 + - 5

-6x = - 17 + - 5

Combine like terms: - 17 + - 5 = - 22

-6x = - 22

Divide each side by '-6'.

x = 3.666666667

Simplifying

x = 3.666666667

x≈ 3.7

Step-by-step explanation:

Subtract 3x from both sides and add 17 to both sides. That leaves you with 22=6x. Divide both sides by 6 to isolate the variable and you should get x equals about 3.7.