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Solve 5x + 2 = 52

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

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The lines y = 5x + 2 and y = 52 meet at x = 104681012141620304050607080x = 10y = 5x + 2y = 52
The lines y = 5x + 2 and y = 52 meet at x = 10. 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.

    5x+2=525x + 2 = 52
  2. 2

    Subtract 2 from both sides:

    5x+2−2=52−2 ⇒ 5x=505x + 2 - 2 = 52 - 2 \ \Rightarrow\ 5x = 50
  3. 3

    Divide both sides by 5:

    5x5=505 ⇒ x=10\frac{5x}{5} = \frac{50}{5} \ \Rightarrow\ x = 10
  4. 4

    Check: put x = 10 back into the equation.

    5⋅10+2=50+2=52✓5\cdot10 + 2 = 50 + 2 = 52 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 2 = 52\ \Rightarrow\ x = 10 \]
\[ 5x + 2 = 52 \]
\[ 5x + 2 - 2 = 52 - 2 \ \Rightarrow\ 5x = 50 \]
\[ \frac{5x}{5} = \frac{50}{5} \ \Rightarrow\ x = 10 \]
\[ 5\cdot10 + 2 = 50 + 2 = 52 \checkmark \]

Trying values of x in 5x + 2 = 52

x5x + 2Equals 52?
842no
947no
1052yes
1157no
1262no

Questions

What is x in 5x + 2 = 52?

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

How do you solve 5x + 2 = 52?

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

How do I check the answer?

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

Similar equations

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