Solve 4x − 7 = 61

The solution of 4x − 7 = 61 is x = 17.

4x - 7 = 61\ \Rightarrow\ x = 17

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The lines y = 4x − 7 and y = 61 meet at x = 17. 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 subtraction, then the multiplication.
$4x - 7 = 61$
2
Add 7 to both sides:
$4x - 7 + 7 = 61 + 7 \ \Rightarrow\ 4x = 68$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{68}{4} \ \Rightarrow\ x = 17$
4
Check: put x = 17 back into the equation.
$4\cdot17 - 7 = 68 - 7 = 61 \checkmark$

LaTeX source of the formulas on this page

\[ 4x - 7 = 61\ \Rightarrow\ x = 17 \]
\[ 4x - 7 = 61 \]
\[ 4x - 7 + 7 = 61 + 7 \ \Rightarrow\ 4x = 68 \]
\[ \frac{4x}{4} = \frac{68}{4} \ \Rightarrow\ x = 17 \]
\[ 4\cdot17 - 7 = 68 - 7 = 61 \checkmark \]

Trying values of x in 4x − 7 = 61

x	4x − 7	Equals 61?
15	53	no
16	57	no
17	61	yes
18	65	no
19	69	no

Questions

What is x in 4x − 7 = 61?

The solution of 4x − 7 = 61 is x = 17.

How do you solve 4x − 7 = 61?

Add 7 to both sides to get 4x = 68, then divide both sides by 4 to get x = 17.

How do I check the answer?

Replace x by 17: 4(17) − 7 = 61, which is 61.

Solve 4x − 7 = 61

How to work it out

Trying values of x in 4x − 7 = 61

Questions

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