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Solve 8x + 15 = 7

The solution of 8x + 15 = 7 is x = -1.

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The lines y = 8x + 15 and y = 7 meet at x = -1-6-4-224-40-20204060x = -1y = 8x + 15y = 7
The lines y = 8x + 15 and y = 7 meet at x = -1. 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=78x + 15 = 7
  2. 2

    Subtract 15 from both sides:

    8x+15−15=7−15 ⇒ 8x=−88x + 15 - 15 = 7 - 15 \ \Rightarrow\ 8x = -8
  3. 3

    Divide both sides by 8:

    8x8=−88 ⇒ x=−1\frac{8x}{8} = \frac{-8}{8} \ \Rightarrow\ x = -1
  4. 4

    Check: put x = -1 back into the equation.

    8⋅(−1)+15=−8+15=7✓8\cdot(-1) + 15 = -8 + 15 = 7 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 15 = 7\ \Rightarrow\ x = -1 \]
\[ 8x + 15 = 7 \]
\[ 8x + 15 - 15 = 7 - 15 \ \Rightarrow\ 8x = -8 \]
\[ \frac{8x}{8} = \frac{-8}{8} \ \Rightarrow\ x = -1 \]
\[ 8\cdot(-1) + 15 = -8 + 15 = 7 \checkmark \]

Trying values of x in 8x + 15 = 7

x8x + 15Equals 7?
-3-9no
-2-1no
-17yes
015no
123no

Questions

What is x in 8x + 15 = 7?

The solution of 8x + 15 = 7 is x = -1.

How do you solve 8x + 15 = 7?

Subtract 15 from both sides to get 8x = -8, then divide both sides by 8 to get x = -1.

How do I check the answer?

Replace x by -1: 8(-1) + 15 = 7, which is 7.

Similar equations

    Solve 8x + 15 = 7: x = -1 (steps and check) | WordGPT