Solve 7x − 13 = −34

The solution of 7x − 13 = −34 is x = -3.

7x - 13 = -34\ \Rightarrow\ x = -3

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The lines y = 7x − 13 and y = -34 meet at x = -3. 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.
$7x - 13 = -34$
2
Add 13 to both sides:
$7x - 13 + 13 = -34 + 13 \ \Rightarrow\ 7x = -21$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{-21}{7} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$7\cdot(-3) - 13 = -21 - 13 = -34 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 13 = -34\ \Rightarrow\ x = -3 \]
\[ 7x - 13 = -34 \]
\[ 7x - 13 + 13 = -34 + 13 \ \Rightarrow\ 7x = -21 \]
\[ \frac{7x}{7} = \frac{-21}{7} \ \Rightarrow\ x = -3 \]
\[ 7\cdot(-3) - 13 = -21 - 13 = -34 \checkmark \]

Trying values of x in 7x − 13 = −34

x	7x − 13	Equals -34?
-5	-48	no
-4	-41	no
-3	-34	yes
-2	-27	no
-1	-20	no

Questions

What is x in 7x − 13 = −34?

The solution of 7x − 13 = −34 is x = -3.

How do you solve 7x − 13 = −34?

Add 13 to both sides to get 7x = -21, then divide both sides by 7 to get x = -3.

How do I check the answer?

Replace x by -3: 7(-3) − 13 = -34, which is -34.

Solve 7x − 13 = −34

How to work it out

Trying values of x in 7x − 13 = −34

Questions

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