WordGPT

Solve 7x + 3 = 45

The solution of 7x + 3 = 45 is x = 6.

Explain it step by step in chatMake a short video of it
The lines y = 7x + 3 and y = 45 meet at x = 62468101220406080x = 6y = 7x + 3y = 45
The lines y = 7x + 3 and y = 45 meet at x = 6. 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+3=457x + 3 = 45
  2. 2

    Subtract 3 from both sides:

    7x+3−3=45−3 ⇒ 7x=427x + 3 - 3 = 45 - 3 \ \Rightarrow\ 7x = 42
  3. 3

    Divide both sides by 7:

    7x7=427 ⇒ x=6\frac{7x}{7} = \frac{42}{7} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    7⋅6+3=42+3=45✓7\cdot6 + 3 = 42 + 3 = 45 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 3 = 45\ \Rightarrow\ x = 6 \]
\[ 7x + 3 = 45 \]
\[ 7x + 3 - 3 = 45 - 3 \ \Rightarrow\ 7x = 42 \]
\[ \frac{7x}{7} = \frac{42}{7} \ \Rightarrow\ x = 6 \]
\[ 7\cdot6 + 3 = 42 + 3 = 45 \checkmark \]

Trying values of x in 7x + 3 = 45

x7x + 3Equals 45?
431no
538no
645yes
752no
859no

Questions

What is x in 7x + 3 = 45?

The solution of 7x + 3 = 45 is x = 6.

How do you solve 7x + 3 = 45?

Subtract 3 from both sides to get 7x = 42, then divide both sides by 7 to get x = 6.

How do I check the answer?

Replace x by 6: 7(6) + 3 = 45, which is 45.

Similar equations

    Solve 7x + 3 = 45: x = 6 (steps and check) | WordGPT