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Solve 3x + 8 = 32

The solution of 3x + 8 = 32 is x = 8.

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The lines y = 3x + 8 and y = 32 meet at x = 824681012141520253035404550x = 8y = 3x + 8y = 32
The lines y = 3x + 8 and y = 32 meet at x = 8. 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+8=323x + 8 = 32
  2. 2

    Subtract 8 from both sides:

    3x+8−8=32−8 ⇒ 3x=243x + 8 - 8 = 32 - 8 \ \Rightarrow\ 3x = 24
  3. 3

    Divide both sides by 3:

    3x3=243 ⇒ x=8\frac{3x}{3} = \frac{24}{3} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    3⋅8+8=24+8=32✓3\cdot8 + 8 = 24 + 8 = 32 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 8 = 32\ \Rightarrow\ x = 8 \]
\[ 3x + 8 = 32 \]
\[ 3x + 8 - 8 = 32 - 8 \ \Rightarrow\ 3x = 24 \]
\[ \frac{3x}{3} = \frac{24}{3} \ \Rightarrow\ x = 8 \]
\[ 3\cdot8 + 8 = 24 + 8 = 32 \checkmark \]

Trying values of x in 3x + 8 = 32

x3x + 8Equals 32?
626no
729no
832yes
935no
1038no

Questions

What is x in 3x + 8 = 32?

The solution of 3x + 8 = 32 is x = 8.

How do you solve 3x + 8 = 32?

Subtract 8 from both sides to get 3x = 24, then divide both sides by 3 to get x = 8.

How do I check the answer?

Replace x by 8: 3(8) + 8 = 32, which is 32.

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