Solve 8x + 3 = 83

The solution of 8x + 3 = 83 is x = 10.

8x + 3 = 83\ \Rightarrow\ x = 10

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The lines y = 8x + 3 and y = 83 meet at x = 10. 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.
$8x + 3 = 83$
2
Subtract 3 from both sides:
$8x + 3 - 3 = 83 - 3 \ \Rightarrow\ 8x = 80$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{80}{8} \ \Rightarrow\ x = 10$
4
Check: put x = 10 back into the equation.
$8\cdot10 + 3 = 80 + 3 = 83 \checkmark$

LaTeX source of the formulas on this page

\[ 8x + 3 = 83\ \Rightarrow\ x = 10 \]
\[ 8x + 3 = 83 \]
\[ 8x + 3 - 3 = 83 - 3 \ \Rightarrow\ 8x = 80 \]
\[ \frac{8x}{8} = \frac{80}{8} \ \Rightarrow\ x = 10 \]
\[ 8\cdot10 + 3 = 80 + 3 = 83 \checkmark \]

Trying values of x in 8x + 3 = 83

x	8x + 3	Equals 83?
8	67	no
9	75	no
10	83	yes
11	91	no
12	99	no

Questions

What is x in 8x + 3 = 83?

The solution of 8x + 3 = 83 is x = 10.

How do you solve 8x + 3 = 83?

Subtract 3 from both sides to get 8x = 80, then divide both sides by 8 to get x = 10.

How do I check the answer?

Replace x by 10: 8(10) + 3 = 83, which is 83.

Solve 8x + 3 = 83

How to work it out

Trying values of x in 8x + 3 = 83

Questions

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