Solve 8x + 11 = 67

The solution of 8x + 11 = 67 is x = 7.

8x + 11 = 67\ \Rightarrow\ x = 7

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The lines y = 8x + 11 and y = 67 meet at x = 7. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

1
The goal is to get x alone. Undo the operations in the opposite order: first the addition, then the multiplication.
$8x + 11 = 67$
2
Subtract 11 from both sides:
$8x + 11 - 11 = 67 - 11 \ \Rightarrow\ 8x = 56$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{56}{8} \ \Rightarrow\ x = 7$
4
Check: put x = 7 back into the equation.
$8\cdot7 + 11 = 56 + 11 = 67 \checkmark$

LaTeX source of the formulas on this page

\[ 8x + 11 = 67\ \Rightarrow\ x = 7 \]
\[ 8x + 11 = 67 \]
\[ 8x + 11 - 11 = 67 - 11 \ \Rightarrow\ 8x = 56 \]
\[ \frac{8x}{8} = \frac{56}{8} \ \Rightarrow\ x = 7 \]
\[ 8\cdot7 + 11 = 56 + 11 = 67 \checkmark \]

Trying values of x in 8x + 11 = 67

x	8x + 11	Equals 67?
5	51	no
6	59	no
7	67	yes
8	75	no
9	83	no

Questions

What is x in 8x + 11 = 67?

The solution of 8x + 11 = 67 is x = 7.

How do you solve 8x + 11 = 67?

Subtract 11 from both sides to get 8x = 56, then divide both sides by 8 to get x = 7.

How do I check the answer?

Replace x by 7: 8(7) + 11 = 67, which is 67.

Solve 8x + 11 = 67

How to work it out

Trying values of x in 8x + 11 = 67

Questions

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