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Solve 7x + 8 = 22

The solution of 7x + 8 = 22 is x = 2.

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The lines y = 7x + 8 and y = 22 meet at x = 2-4-22468-20204060x = 2y = 7x + 8y = 22
The lines y = 7x + 8 and y = 22 meet at x = 2. 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.

    7x+8=227x + 8 = 22
  2. 2

    Subtract 8 from both sides:

    7x+8−8=22−8 ⇒ 7x=147x + 8 - 8 = 22 - 8 \ \Rightarrow\ 7x = 14
  3. 3

    Divide both sides by 7:

    7x7=147 ⇒ x=2\frac{7x}{7} = \frac{14}{7} \ \Rightarrow\ x = 2
  4. 4

    Check: put x = 2 back into the equation.

    7⋅2+8=14+8=22✓7\cdot2 + 8 = 14 + 8 = 22 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 8 = 22\ \Rightarrow\ x = 2 \]
\[ 7x + 8 = 22 \]
\[ 7x + 8 - 8 = 22 - 8 \ \Rightarrow\ 7x = 14 \]
\[ \frac{7x}{7} = \frac{14}{7} \ \Rightarrow\ x = 2 \]
\[ 7\cdot2 + 8 = 14 + 8 = 22 \checkmark \]

Trying values of x in 7x + 8 = 22

x7x + 8Equals 22?
08no
115no
222yes
329no
436no

Questions

What is x in 7x + 8 = 22?

The solution of 7x + 8 = 22 is x = 2.

How do you solve 7x + 8 = 22?

Subtract 8 from both sides to get 7x = 14, then divide both sides by 7 to get x = 2.

How do I check the answer?

Replace x by 2: 7(2) + 8 = 22, which is 22.

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