WordGPT

Solve 7x + 10 = 45

The solution of 7x + 10 = 45 is x = 5.

Explain it step by step in chatMake a short video of it
The lines y = 7x + 10 and y = 45 meet at x = 524681020406080x = 5y = 7x + 10y = 45
The lines y = 7x + 10 and y = 45 meet at x = 5. 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.

    7x+10=457x + 10 = 45
  2. 2

    Subtract 10 from both sides:

    7x+10−10=45−10 ⇒ 7x=357x + 10 - 10 = 45 - 10 \ \Rightarrow\ 7x = 35
  3. 3

    Divide both sides by 7:

    7x7=357 ⇒ x=5\frac{7x}{7} = \frac{35}{7} \ \Rightarrow\ x = 5
  4. 4

    Check: put x = 5 back into the equation.

    7⋅5+10=35+10=45✓7\cdot5 + 10 = 35 + 10 = 45 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 10 = 45\ \Rightarrow\ x = 5 \]
\[ 7x + 10 = 45 \]
\[ 7x + 10 - 10 = 45 - 10 \ \Rightarrow\ 7x = 35 \]
\[ \frac{7x}{7} = \frac{35}{7} \ \Rightarrow\ x = 5 \]
\[ 7\cdot5 + 10 = 35 + 10 = 45 \checkmark \]

Trying values of x in 7x + 10 = 45

x7x + 10Equals 45?
331no
438no
545yes
652no
759no

Questions

What is x in 7x + 10 = 45?

The solution of 7x + 10 = 45 is x = 5.

How do you solve 7x + 10 = 45?

Subtract 10 from both sides to get 7x = 35, then divide both sides by 7 to get x = 5.

How do I check the answer?

Replace x by 5: 7(5) + 10 = 45, which is 45.

Similar equations

    Solve 7x + 10 = 45: x = 5 (steps and check) | WordGPT