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Solve 3x + 11 = 32

The solution of 3x + 11 = 32 is x = 7.

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The lines y = 3x + 11 and y = 32 meet at x = 7246810121520253035404550x = 7y = 3x + 11y = 32
The lines y = 3x + 11 and y = 32 meet at x = 7. 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+11=323x + 11 = 32
  2. 2

    Subtract 11 from both sides:

    3x+11−11=32−11 ⇒ 3x=213x + 11 - 11 = 32 - 11 \ \Rightarrow\ 3x = 21
  3. 3

    Divide both sides by 3:

    3x3=213 ⇒ x=7\frac{3x}{3} = \frac{21}{3} \ \Rightarrow\ x = 7
  4. 4

    Check: put x = 7 back into the equation.

    3⋅7+11=21+11=32✓3\cdot7 + 11 = 21 + 11 = 32 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 11 = 32\ \Rightarrow\ x = 7 \]
\[ 3x + 11 = 32 \]
\[ 3x + 11 - 11 = 32 - 11 \ \Rightarrow\ 3x = 21 \]
\[ \frac{3x}{3} = \frac{21}{3} \ \Rightarrow\ x = 7 \]
\[ 3\cdot7 + 11 = 21 + 11 = 32 \checkmark \]

Trying values of x in 3x + 11 = 32

x3x + 11Equals 32?
526no
629no
732yes
835no
938no

Questions

What is x in 3x + 11 = 32?

The solution of 3x + 11 = 32 is x = 7.

How do you solve 3x + 11 = 32?

Subtract 11 from both sides to get 3x = 21, then divide both sides by 3 to get x = 7.

How do I check the answer?

Replace x by 7: 3(7) + 11 = 32, which is 32.

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    Solve 3x + 11 = 32: x = 7 (steps and check) | WordGPT