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Solve 7x + 3 = 38

The solution of 7x + 3 = 38 is x = 5.

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The lines y = 7x + 3 and y = 38 meet at x = 524681020406080x = 5y = 7x + 3y = 38
The lines y = 7x + 3 and y = 38 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+3=387x + 3 = 38
  2. 2

    Subtract 3 from both sides:

    7x+3−3=38−3 ⇒ 7x=357x + 3 - 3 = 38 - 3 \ \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+3=35+3=38✓7\cdot5 + 3 = 35 + 3 = 38 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 3 = 38\ \Rightarrow\ x = 5 \]
\[ 7x + 3 = 38 \]
\[ 7x + 3 - 3 = 38 - 3 \ \Rightarrow\ 7x = 35 \]
\[ \frac{7x}{7} = \frac{35}{7} \ \Rightarrow\ x = 5 \]
\[ 7\cdot5 + 3 = 35 + 3 = 38 \checkmark \]

Trying values of x in 7x + 3 = 38

x7x + 3Equals 38?
324no
431no
538yes
645no
752no

Questions

What is x in 7x + 3 = 38?

The solution of 7x + 3 = 38 is x = 5.

How do you solve 7x + 3 = 38?

Subtract 3 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) + 3 = 38, which is 38.

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    Solve 7x + 3 = 38: x = 5 (steps and check) | WordGPT