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Solve 10x + 2 = 52

The solution of 10x + 2 = 52 is x = 5.

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The lines y = 10x + 2 and y = 52 meet at x = 5246810-2020406080100120x = 5y = 10x + 2y = 52
The lines y = 10x + 2 and y = 52 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.

    10x+2=5210x + 2 = 52
  2. 2

    Subtract 2 from both sides:

    10x+2−2=52−2 ⇒ 10x=5010x + 2 - 2 = 52 - 2 \ \Rightarrow\ 10x = 50
  3. 3

    Divide both sides by 10:

    10x10=5010 ⇒ x=5\frac{10x}{10} = \frac{50}{10} \ \Rightarrow\ x = 5
  4. 4

    Check: put x = 5 back into the equation.

    10⋅5+2=50+2=52✓10\cdot5 + 2 = 50 + 2 = 52 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 2 = 52\ \Rightarrow\ x = 5 \]
\[ 10x + 2 = 52 \]
\[ 10x + 2 - 2 = 52 - 2 \ \Rightarrow\ 10x = 50 \]
\[ \frac{10x}{10} = \frac{50}{10} \ \Rightarrow\ x = 5 \]
\[ 10\cdot5 + 2 = 50 + 2 = 52 \checkmark \]

Trying values of x in 10x + 2 = 52

x10x + 2Equals 52?
332no
442no
552yes
662no
772no

Questions

What is x in 10x + 2 = 52?

The solution of 10x + 2 = 52 is x = 5.

How do you solve 10x + 2 = 52?

Subtract 2 from both sides to get 10x = 50, then divide both sides by 10 to get x = 5.

How do I check the answer?

Replace x by 5: 10(5) + 2 = 52, which is 52.

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    Solve 10x + 2 = 52: x = 5 (steps and check) | WordGPT