Solve 5x − 12 = −47

The solution of 5x − 12 = −47 is x = -7.

5x - 12 = -47\ \Rightarrow\ x = -7

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The lines y = 5x − 12 and y = -47 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.
$5x - 12 = -47$
2
Add 12 to both sides:
$5x - 12 + 12 = -47 + 12 \ \Rightarrow\ 5x = -35$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{-35}{5} \ \Rightarrow\ x = -7$
4
Check: put x = -7 back into the equation.
$5\cdot(-7) - 12 = -35 - 12 = -47 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 12 = -47\ \Rightarrow\ x = -7 \]
\[ 5x - 12 = -47 \]
\[ 5x - 12 + 12 = -47 + 12 \ \Rightarrow\ 5x = -35 \]
\[ \frac{5x}{5} = \frac{-35}{5} \ \Rightarrow\ x = -7 \]
\[ 5\cdot(-7) - 12 = -35 - 12 = -47 \checkmark \]

Trying values of x in 5x − 12 = −47

x	5x − 12	Equals -47?
-9	-57	no
-8	-52	no
-7	-47	yes
-6	-42	no
-5	-37	no

Questions

What is x in 5x − 12 = −47?

The solution of 5x − 12 = −47 is x = -7.

How do you solve 5x − 12 = −47?

Add 12 to both sides to get 5x = -35, then divide both sides by 5 to get x = -7.

How do I check the answer?

Replace x by -7: 5(-7) − 12 = -47, which is -47.

Solve 5x − 12 = −47

How to work it out

Trying values of x in 5x − 12 = −47

Questions

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