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Solve 8x + 12 = 52

The solution of 8x + 12 = 52 is x = 5.

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The lines y = 8x + 12 and y = 52 meet at x = 524681020406080100x = 5y = 8x + 12y = 52
The lines y = 8x + 12 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.

    8x+12=528x + 12 = 52
  2. 2

    Subtract 12 from both sides:

    8x+12−12=52−12 ⇒ 8x=408x + 12 - 12 = 52 - 12 \ \Rightarrow\ 8x = 40
  3. 3

    Divide both sides by 8:

    8x8=408 ⇒ x=5\frac{8x}{8} = \frac{40}{8} \ \Rightarrow\ x = 5
  4. 4

    Check: put x = 5 back into the equation.

    8⋅5+12=40+12=52✓8\cdot5 + 12 = 40 + 12 = 52 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 12 = 52\ \Rightarrow\ x = 5 \]
\[ 8x + 12 = 52 \]
\[ 8x + 12 - 12 = 52 - 12 \ \Rightarrow\ 8x = 40 \]
\[ \frac{8x}{8} = \frac{40}{8} \ \Rightarrow\ x = 5 \]
\[ 8\cdot5 + 12 = 40 + 12 = 52 \checkmark \]

Trying values of x in 8x + 12 = 52

x8x + 12Equals 52?
336no
444no
552yes
660no
768no

Questions

What is x in 8x + 12 = 52?

The solution of 8x + 12 = 52 is x = 5.

How do you solve 8x + 12 = 52?

Subtract 12 from both sides to get 8x = 40, then divide both sides by 8 to get x = 5.

How do I check the answer?

Replace x by 5: 8(5) + 12 = 52, which is 52.

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    Solve 8x + 12 = 52: x = 5 (steps and check) | WordGPT