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Solve 8x + 15 = 47

The solution of 8x + 15 = 47 is x = 4.

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The lines y = 8x + 15 and y = 47 meet at x = 4-224681020406080100x = 4y = 8x + 15y = 47
The lines y = 8x + 15 and y = 47 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.

    8x+15=478x + 15 = 47
  2. 2

    Subtract 15 from both sides:

    8x+15−15=47−15 ⇒ 8x=328x + 15 - 15 = 47 - 15 \ \Rightarrow\ 8x = 32
  3. 3

    Divide both sides by 8:

    8x8=328 ⇒ x=4\frac{8x}{8} = \frac{32}{8} \ \Rightarrow\ x = 4
  4. 4

    Check: put x = 4 back into the equation.

    8⋅4+15=32+15=47✓8\cdot4 + 15 = 32 + 15 = 47 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 15 = 47\ \Rightarrow\ x = 4 \]
\[ 8x + 15 = 47 \]
\[ 8x + 15 - 15 = 47 - 15 \ \Rightarrow\ 8x = 32 \]
\[ \frac{8x}{8} = \frac{32}{8} \ \Rightarrow\ x = 4 \]
\[ 8\cdot4 + 15 = 32 + 15 = 47 \checkmark \]

Trying values of x in 8x + 15 = 47

x8x + 15Equals 47?
231no
339no
447yes
555no
663no

Questions

What is x in 8x + 15 = 47?

The solution of 8x + 15 = 47 is x = 4.

How do you solve 8x + 15 = 47?

Subtract 15 from both sides to get 8x = 32, then divide both sides by 8 to get x = 4.

How do I check the answer?

Replace x by 4: 8(4) + 15 = 47, which is 47.

Similar equations

    Solve 8x + 15 = 47: x = 4 (steps and check) | WordGPT