Solve 4x − 7 = 37

The solution of 4x − 7 = 37 is x = 11.

4x - 7 = 37\ \Rightarrow\ x = 11

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The lines y = 4x − 7 and y = 37 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 subtraction, then the multiplication.
$4x - 7 = 37$
2
Add 7 to both sides:
$4x - 7 + 7 = 37 + 7 \ \Rightarrow\ 4x = 44$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{44}{4} \ \Rightarrow\ x = 11$
4
Check: put x = 11 back into the equation.
$4\cdot11 - 7 = 44 - 7 = 37 \checkmark$

LaTeX source of the formulas on this page

\[ 4x - 7 = 37\ \Rightarrow\ x = 11 \]
\[ 4x - 7 = 37 \]
\[ 4x - 7 + 7 = 37 + 7 \ \Rightarrow\ 4x = 44 \]
\[ \frac{4x}{4} = \frac{44}{4} \ \Rightarrow\ x = 11 \]
\[ 4\cdot11 - 7 = 44 - 7 = 37 \checkmark \]

Trying values of x in 4x − 7 = 37

x	4x − 7	Equals 37?
9	29	no
10	33	no
11	37	yes
12	41	no
13	45	no

Questions

What is x in 4x − 7 = 37?

The solution of 4x − 7 = 37 is x = 11.

How do you solve 4x − 7 = 37?

Add 7 to 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) − 7 = 37, which is 37.

Solve 4x − 7 = 37

How to work it out

Trying values of x in 4x − 7 = 37

Questions

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