Solve 7x − 5 = 23

The solution of 7x − 5 = 23 is x = 4.

7x - 5 = 23\ \Rightarrow\ x = 4

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The lines y = 7x − 5 and y = 23 meet at x = 4. 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.
$7x - 5 = 23$
2
Add 5 to both sides:
$7x - 5 + 5 = 23 + 5 \ \Rightarrow\ 7x = 28$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{28}{7} \ \Rightarrow\ x = 4$
4
Check: put x = 4 back into the equation.
$7\cdot4 - 5 = 28 - 5 = 23 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 5 = 23\ \Rightarrow\ x = 4 \]
\[ 7x - 5 = 23 \]
\[ 7x - 5 + 5 = 23 + 5 \ \Rightarrow\ 7x = 28 \]
\[ \frac{7x}{7} = \frac{28}{7} \ \Rightarrow\ x = 4 \]
\[ 7\cdot4 - 5 = 28 - 5 = 23 \checkmark \]

Trying values of x in 7x − 5 = 23

x	7x − 5	Equals 23?
2	9	no
3	16	no
4	23	yes
5	30	no
6	37	no

Questions

What is x in 7x − 5 = 23?

The solution of 7x − 5 = 23 is x = 4.

How do you solve 7x − 5 = 23?

Add 5 to both sides to get 7x = 28, then divide both sides by 7 to get x = 4.

How do I check the answer?

Replace x by 4: 7(4) − 5 = 23, which is 23.

Solve 7x − 5 = 23

How to work it out

Trying values of x in 7x − 5 = 23

Questions

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