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Solve 3x + 10 = 52

The solution of 3x + 10 = 52 is x = 14.

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The lines y = 3x + 10 and y = 52 meet at x = 1481012141618203540455055606570x = 14y = 3x + 10y = 52
The lines y = 3x + 10 and y = 52 meet at x = 14. 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+10=523x + 10 = 52
  2. 2

    Subtract 10 from both sides:

    3x+10−10=52−10 ⇒ 3x=423x + 10 - 10 = 52 - 10 \ \Rightarrow\ 3x = 42
  3. 3

    Divide both sides by 3:

    3x3=423 ⇒ x=14\frac{3x}{3} = \frac{42}{3} \ \Rightarrow\ x = 14
  4. 4

    Check: put x = 14 back into the equation.

    3⋅14+10=42+10=52✓3\cdot14 + 10 = 42 + 10 = 52 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 10 = 52\ \Rightarrow\ x = 14 \]
\[ 3x + 10 = 52 \]
\[ 3x + 10 - 10 = 52 - 10 \ \Rightarrow\ 3x = 42 \]
\[ \frac{3x}{3} = \frac{42}{3} \ \Rightarrow\ x = 14 \]
\[ 3\cdot14 + 10 = 42 + 10 = 52 \checkmark \]

Trying values of x in 3x + 10 = 52

x3x + 10Equals 52?
1246no
1349no
1452yes
1555no
1658no

Questions

What is x in 3x + 10 = 52?

The solution of 3x + 10 = 52 is x = 14.

How do you solve 3x + 10 = 52?

Subtract 10 from both sides to get 3x = 42, then divide both sides by 3 to get x = 14.

How do I check the answer?

Replace x by 14: 3(14) + 10 = 52, which is 52.

Similar equations

    Solve 3x + 10 = 52: x = 14 (steps and check) | WordGPT