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Solve 7x + 10 = 38

The solution of 7x + 10 = 38 is x = 4.

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The lines y = 7x + 10 and y = 38 meet at x = 4-224681020406080x = 4y = 7x + 10y = 38
The lines y = 7x + 10 and y = 38 meet at x = 4. 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=387x + 10 = 38
  2. 2

    Subtract 10 from both sides:

    7x+10−10=38−10 ⇒ 7x=287x + 10 - 10 = 38 - 10 \ \Rightarrow\ 7x = 28
  3. 3

    Divide both sides by 7:

    7x7=287 ⇒ x=4\frac{7x}{7} = \frac{28}{7} \ \Rightarrow\ x = 4
  4. 4

    Check: put x = 4 back into the equation.

    7⋅4+10=28+10=38✓7\cdot4 + 10 = 28 + 10 = 38 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 10 = 38\ \Rightarrow\ x = 4 \]
\[ 7x + 10 = 38 \]
\[ 7x + 10 - 10 = 38 - 10 \ \Rightarrow\ 7x = 28 \]
\[ \frac{7x}{7} = \frac{28}{7} \ \Rightarrow\ x = 4 \]
\[ 7\cdot4 + 10 = 28 + 10 = 38 \checkmark \]

Trying values of x in 7x + 10 = 38

x7x + 10Equals 38?
224no
331no
438yes
545no
652no

Questions

What is x in 7x + 10 = 38?

The solution of 7x + 10 = 38 is x = 4.

How do you solve 7x + 10 = 38?

Subtract 10 from both sides to get 7x = 28, then divide both sides by 7 to get x = 4.

How do I check the answer?

Replace x by 4: 7(4) + 10 = 38, which is 38.

Similar equations

    Solve 7x + 10 = 38: x = 4 (steps and check) | WordGPT