WordGPT

Solve 8x + 13 = 157

The solution of 8x + 13 = 157 is x = 18.

The lines y = 8x + 13 and y = 157 meet at x = 1812141618202224100120140160180200x = 18y = 8x + 13y = 157
The lines y = 8x + 13 and y = 157 meet at x = 18. 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+13=1578x + 13 = 157
  2. 2

    Subtract 13 from both sides:

    8x+13−13=157−13 ⇒ 8x=1448x + 13 - 13 = 157 - 13 \ \Rightarrow\ 8x = 144
  3. 3

    Divide both sides by 8:

    8x8=1448 ⇒ x=18\frac{8x}{8} = \frac{144}{8} \ \Rightarrow\ x = 18
  4. 4

    Check: put x = 18 back into the equation.

    8⋅18+13=144+13=157✓8\cdot18 + 13 = 144 + 13 = 157 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 13 = 157\ \Rightarrow\ x = 18 \]
\[ 8x + 13 = 157 \]
\[ 8x + 13 - 13 = 157 - 13 \ \Rightarrow\ 8x = 144 \]
\[ \frac{8x}{8} = \frac{144}{8} \ \Rightarrow\ x = 18 \]
\[ 8\cdot18 + 13 = 144 + 13 = 157 \checkmark \]

Trying values of x in 8x + 13 = 157

x8x + 13Equals 157?
16141no
17149no
18157yes
19165no
20173no

Questions

What is x in 8x + 13 = 157?

The solution of 8x + 13 = 157 is x = 18.

How do you solve 8x + 13 = 157?

Subtract 13 from both sides to get 8x = 144, then divide both sides by 8 to get x = 18.

How do I check the answer?

Replace x by 18: 8(18) + 13 = 157, which is 157.

Similar equations

    Solve 8x + 13 = 157: x = 18 (steps and check) | WordGPT