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Solve 3x + 9 = 6

The solution of 3x + 9 = 6 is x = -1.

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The lines y = 3x + 9 and y = 6 meet at x = -1-6-4-224-15-10-5510152025x = -1y = 3x + 9y = 6
The lines y = 3x + 9 and y = 6 meet at x = -1. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

  1. 1

    The goal is to get x alone. Undo the operations in the opposite order: first the addition, then the multiplication.

    3x+9=63x + 9 = 6
  2. 2

    Subtract 9 from both sides:

    3x+9−9=6−9 ⇒ 3x=−33x + 9 - 9 = 6 - 9 \ \Rightarrow\ 3x = -3
  3. 3

    Divide both sides by 3:

    3x3=−33 ⇒ x=−1\frac{3x}{3} = \frac{-3}{3} \ \Rightarrow\ x = -1
  4. 4

    Check: put x = -1 back into the equation.

    3⋅(−1)+9=−3+9=6✓3\cdot(-1) + 9 = -3 + 9 = 6 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 9 = 6\ \Rightarrow\ x = -1 \]
\[ 3x + 9 = 6 \]
\[ 3x + 9 - 9 = 6 - 9 \ \Rightarrow\ 3x = -3 \]
\[ \frac{3x}{3} = \frac{-3}{3} \ \Rightarrow\ x = -1 \]
\[ 3\cdot(-1) + 9 = -3 + 9 = 6 \checkmark \]

Trying values of x in 3x + 9 = 6

x3x + 9Equals 6?
-30no
-23no
-16yes
09no
112no

Questions

What is x in 3x + 9 = 6?

The solution of 3x + 9 = 6 is x = -1.

How do you solve 3x + 9 = 6?

Subtract 9 from both sides to get 3x = -3, then divide both sides by 3 to get x = -1.

How do I check the answer?

Replace x by -1: 3(-1) + 9 = 6, which is 6.

Similar equations

    Solve 3x + 9 = 6: x = -1 (steps and check) | WordGPT