Solve 4x + 3 = 47

The solution of 4x + 3 = 47 is x = 11.

4x + 3 = 47\ \Rightarrow\ x = 11

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The lines y = 4x + 3 and y = 47 meet at x = 11. 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.
$4x + 3 = 47$
2
Subtract 3 from both sides:
$4x + 3 - 3 = 47 - 3 \ \Rightarrow\ 4x = 44$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{44}{4} \ \Rightarrow\ x = 11$
4
Check: put x = 11 back into the equation.
$4\cdot11 + 3 = 44 + 3 = 47 \checkmark$

LaTeX source of the formulas on this page

\[ 4x + 3 = 47\ \Rightarrow\ x = 11 \]
\[ 4x + 3 = 47 \]
\[ 4x + 3 - 3 = 47 - 3 \ \Rightarrow\ 4x = 44 \]
\[ \frac{4x}{4} = \frac{44}{4} \ \Rightarrow\ x = 11 \]
\[ 4\cdot11 + 3 = 44 + 3 = 47 \checkmark \]

Trying values of x in 4x + 3 = 47

x	4x + 3	Equals 47?
9	39	no
10	43	no
11	47	yes
12	51	no
13	55	no

Questions

What is x in 4x + 3 = 47?

The solution of 4x + 3 = 47 is x = 11.

How do you solve 4x + 3 = 47?

Subtract 3 from both sides to get 4x = 44, then divide both sides by 4 to get x = 11.

How do I check the answer?

Replace x by 11: 4(11) + 3 = 47, which is 47.

Solve 4x + 3 = 47

How to work it out

Trying values of x in 4x + 3 = 47

Questions

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