Solve 4x + 1 = 57

The solution of 4x + 1 = 57 is x = 14.

4x + 1 = 57\ \Rightarrow\ x = 14

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The lines y = 4x + 1 and y = 57 meet at x = 14. 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.
$4x + 1 = 57$
2
Subtract 1 from both sides:
$4x + 1 - 1 = 57 - 1 \ \Rightarrow\ 4x = 56$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{56}{4} \ \Rightarrow\ x = 14$
4
Check: put x = 14 back into the equation.
$4\cdot14 + 1 = 56 + 1 = 57 \checkmark$

LaTeX source of the formulas on this page

\[ 4x + 1 = 57\ \Rightarrow\ x = 14 \]
\[ 4x + 1 = 57 \]
\[ 4x + 1 - 1 = 57 - 1 \ \Rightarrow\ 4x = 56 \]
\[ \frac{4x}{4} = \frac{56}{4} \ \Rightarrow\ x = 14 \]
\[ 4\cdot14 + 1 = 56 + 1 = 57 \checkmark \]

Trying values of x in 4x + 1 = 57

x	4x + 1	Equals 57?
12	49	no
13	53	no
14	57	yes
15	61	no
16	65	no

Questions

What is x in 4x + 1 = 57?

The solution of 4x + 1 = 57 is x = 14.

How do you solve 4x + 1 = 57?

Subtract 1 from both sides to get 4x = 56, then divide both sides by 4 to get x = 14.

How do I check the answer?

Replace x by 14: 4(14) + 1 = 57, which is 57.

Solve 4x + 1 = 57

How to work it out

Trying values of x in 4x + 1 = 57

Questions

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