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Solve 8x + 7 = 151

The solution of 8x + 7 = 151 is x = 18.

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The lines y = 8x + 7 and y = 151 meet at x = 1812141618202224100120140160180200x = 18y = 8x + 7y = 151
The lines y = 8x + 7 and y = 151 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+7=1518x + 7 = 151
  2. 2

    Subtract 7 from both sides:

    8x+7−7=151−7 ⇒ 8x=1448x + 7 - 7 = 151 - 7 \ \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+7=144+7=151✓8\cdot18 + 7 = 144 + 7 = 151 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 7 = 151\ \Rightarrow\ x = 18 \]
\[ 8x + 7 = 151 \]
\[ 8x + 7 - 7 = 151 - 7 \ \Rightarrow\ 8x = 144 \]
\[ \frac{8x}{8} = \frac{144}{8} \ \Rightarrow\ x = 18 \]
\[ 8\cdot18 + 7 = 144 + 7 = 151 \checkmark \]

Trying values of x in 8x + 7 = 151

x8x + 7Equals 151?
16135no
17143no
18151yes
19159no
20167no

Questions

What is x in 8x + 7 = 151?

The solution of 8x + 7 = 151 is x = 18.

How do you solve 8x + 7 = 151?

Subtract 7 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) + 7 = 151, which is 151.

Similar equations

    Solve 8x + 7 = 151: x = 18 (steps and check) | WordGPT