Solve 5x − 7 = −52

The solution of 5x − 7 = −52 is x = -9.

5x - 7 = -52\ \Rightarrow\ x = -9

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The lines y = 5x − 7 and y = -52 meet at x = -9. 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.
$5x - 7 = -52$
2
Add 7 to both sides:
$5x - 7 + 7 = -52 + 7 \ \Rightarrow\ 5x = -45$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{-45}{5} \ \Rightarrow\ x = -9$
4
Check: put x = -9 back into the equation.
$5\cdot(-9) - 7 = -45 - 7 = -52 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 7 = -52\ \Rightarrow\ x = -9 \]
\[ 5x - 7 = -52 \]
\[ 5x - 7 + 7 = -52 + 7 \ \Rightarrow\ 5x = -45 \]
\[ \frac{5x}{5} = \frac{-45}{5} \ \Rightarrow\ x = -9 \]
\[ 5\cdot(-9) - 7 = -45 - 7 = -52 \checkmark \]

Trying values of x in 5x − 7 = −52

x	5x − 7	Equals -52?
-11	-62	no
-10	-57	no
-9	-52	yes
-8	-47	no
-7	-42	no

Questions

What is x in 5x − 7 = −52?

The solution of 5x − 7 = −52 is x = -9.

How do you solve 5x − 7 = −52?

Add 7 to both sides to get 5x = -45, then divide both sides by 5 to get x = -9.

How do I check the answer?

Replace x by -9: 5(-9) − 7 = -52, which is -52.

Solve 5x − 7 = −52

How to work it out

Trying values of x in 5x − 7 = −52

Questions

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