Solve 7x − 4 = 45

The solution of 7x − 4 = 45 is x = 7.

7x - 4 = 45\ \Rightarrow\ x = 7

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The lines y = 7x − 4 and y = 45 meet at x = 7. 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.
$7x - 4 = 45$
2
Add 4 to both sides:
$7x - 4 + 4 = 45 + 4 \ \Rightarrow\ 7x = 49$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{49}{7} \ \Rightarrow\ x = 7$
4
Check: put x = 7 back into the equation.
$7\cdot7 - 4 = 49 - 4 = 45 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 4 = 45\ \Rightarrow\ x = 7 \]
\[ 7x - 4 = 45 \]
\[ 7x - 4 + 4 = 45 + 4 \ \Rightarrow\ 7x = 49 \]
\[ \frac{7x}{7} = \frac{49}{7} \ \Rightarrow\ x = 7 \]
\[ 7\cdot7 - 4 = 49 - 4 = 45 \checkmark \]

Trying values of x in 7x − 4 = 45

x	7x − 4	Equals 45?
5	31	no
6	38	no
7	45	yes
8	52	no
9	59	no

Questions

What is x in 7x − 4 = 45?

The solution of 7x − 4 = 45 is x = 7.

How do you solve 7x − 4 = 45?

Add 4 to both sides to get 7x = 49, then divide both sides by 7 to get x = 7.

How do I check the answer?

Replace x by 7: 7(7) − 4 = 45, which is 45.

Solve 7x − 4 = 45

How to work it out

Trying values of x in 7x − 4 = 45

Questions

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