WordGPT

Solve 3x + 10 = 46

The solution of 3x + 10 = 46 is x = 12.

Explain it step by step in chatMake a short video of it
The lines y = 3x + 10 and y = 46 meet at x = 12681012141618253035404550556065x = 12y = 3x + 10y = 46
The lines y = 3x + 10 and y = 46 meet at x = 12. 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=463x + 10 = 46
  2. 2

    Subtract 10 from both sides:

    3x+10−10=46−10 ⇒ 3x=363x + 10 - 10 = 46 - 10 \ \Rightarrow\ 3x = 36
  3. 3

    Divide both sides by 3:

    3x3=363 ⇒ x=12\frac{3x}{3} = \frac{36}{3} \ \Rightarrow\ x = 12
  4. 4

    Check: put x = 12 back into the equation.

    3⋅12+10=36+10=46✓3\cdot12 + 10 = 36 + 10 = 46 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 10 = 46\ \Rightarrow\ x = 12 \]
\[ 3x + 10 = 46 \]
\[ 3x + 10 - 10 = 46 - 10 \ \Rightarrow\ 3x = 36 \]
\[ \frac{3x}{3} = \frac{36}{3} \ \Rightarrow\ x = 12 \]
\[ 3\cdot12 + 10 = 36 + 10 = 46 \checkmark \]

Trying values of x in 3x + 10 = 46

x3x + 10Equals 46?
1040no
1143no
1246yes
1349no
1452no

Questions

What is x in 3x + 10 = 46?

The solution of 3x + 10 = 46 is x = 12.

How do you solve 3x + 10 = 46?

Subtract 10 from both sides to get 3x = 36, then divide both sides by 3 to get x = 12.

How do I check the answer?

Replace x by 12: 3(12) + 10 = 46, which is 46.

Similar equations

    Solve 3x + 10 = 46: x = 12 (steps and check) | WordGPT