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Solve 7x + 10 = 52

The solution of 7x + 10 = 52 is x = 6.

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The lines y = 7x + 10 and y = 52 meet at x = 62468101220406080100x = 6y = 7x + 10y = 52
The lines y = 7x + 10 and y = 52 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+10=527x + 10 = 52
  2. 2

    Subtract 10 from both sides:

    7x+10−10=52−10 ⇒ 7x=427x + 10 - 10 = 52 - 10 \ \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+10=42+10=52✓7\cdot6 + 10 = 42 + 10 = 52 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 10 = 52\ \Rightarrow\ x = 6 \]
\[ 7x + 10 = 52 \]
\[ 7x + 10 - 10 = 52 - 10 \ \Rightarrow\ 7x = 42 \]
\[ \frac{7x}{7} = \frac{42}{7} \ \Rightarrow\ x = 6 \]
\[ 7\cdot6 + 10 = 42 + 10 = 52 \checkmark \]

Trying values of x in 7x + 10 = 52

x7x + 10Equals 52?
438no
545no
652yes
759no
866no

Questions

What is x in 7x + 10 = 52?

The solution of 7x + 10 = 52 is x = 6.

How do you solve 7x + 10 = 52?

Subtract 10 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) + 10 = 52, which is 52.

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    Solve 7x + 10 = 52: x = 6 (steps and check) | WordGPT