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Solve 3x + 2 = 32

The solution of 3x + 2 = 32 is x = 10.

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The lines y = 3x + 2 and y = 32 meet at x = 10468101214161520253035404550x = 10y = 3x + 2y = 32
The lines y = 3x + 2 and y = 32 meet at x = 10. 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+2=323x + 2 = 32
  2. 2

    Subtract 2 from both sides:

    3x+2−2=32−2 ⇒ 3x=303x + 2 - 2 = 32 - 2 \ \Rightarrow\ 3x = 30
  3. 3

    Divide both sides by 3:

    3x3=303 ⇒ x=10\frac{3x}{3} = \frac{30}{3} \ \Rightarrow\ x = 10
  4. 4

    Check: put x = 10 back into the equation.

    3⋅10+2=30+2=32✓3\cdot10 + 2 = 30 + 2 = 32 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 2 = 32\ \Rightarrow\ x = 10 \]
\[ 3x + 2 = 32 \]
\[ 3x + 2 - 2 = 32 - 2 \ \Rightarrow\ 3x = 30 \]
\[ \frac{3x}{3} = \frac{30}{3} \ \Rightarrow\ x = 10 \]
\[ 3\cdot10 + 2 = 30 + 2 = 32 \checkmark \]

Trying values of x in 3x + 2 = 32

x3x + 2Equals 32?
826no
929no
1032yes
1135no
1238no

Questions

What is x in 3x + 2 = 32?

The solution of 3x + 2 = 32 is x = 10.

How do you solve 3x + 2 = 32?

Subtract 2 from both sides to get 3x = 30, then divide both sides by 3 to get x = 10.

How do I check the answer?

Replace x by 10: 3(10) + 2 = 32, which is 32.

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    Solve 3x + 2 = 32: x = 10 (steps and check) | WordGPT