Solve 8x + 11 = 19

The solution of 8x + 11 = 19 is x = 1.

8x + 11 = 19\ \Rightarrow\ x = 1

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The lines y = 8x + 11 and y = 19 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
The goal is to get x alone. Undo the operations in the opposite order: first the addition, then the multiplication.
$8x + 11 = 19$
2
Subtract 11 from both sides:
$8x + 11 - 11 = 19 - 11 \ \Rightarrow\ 8x = 8$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{8}{8} \ \Rightarrow\ x = 1$
4
Check: put x = 1 back into the equation.
$8\cdot1 + 11 = 8 + 11 = 19 \checkmark$

LaTeX source of the formulas on this page

\[ 8x + 11 = 19\ \Rightarrow\ x = 1 \]
\[ 8x + 11 = 19 \]
\[ 8x + 11 - 11 = 19 - 11 \ \Rightarrow\ 8x = 8 \]
\[ \frac{8x}{8} = \frac{8}{8} \ \Rightarrow\ x = 1 \]
\[ 8\cdot1 + 11 = 8 + 11 = 19 \checkmark \]

Trying values of x in 8x + 11 = 19

x	8x + 11	Equals 19?
-1	3	no
0	11	no
1	19	yes
2	27	no
3	35	no

Questions

What is x in 8x + 11 = 19?

The solution of 8x + 11 = 19 is x = 1.

How do you solve 8x + 11 = 19?

Subtract 11 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) + 11 = 19, which is 19.

Solve 8x + 11 = 19

How to work it out

Trying values of x in 8x + 11 = 19

Questions

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