Solve 6x + 13 = −47

The solution of 6x + 13 = −47 is x = -10.

6x + 13 = -47\ \Rightarrow\ x = -10

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The lines y = 6x + 13 and y = -47 meet at x = -10. 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 addition, then the multiplication.
$6x + 13 = -47$
2
Subtract 13 from both sides:
$6x + 13 - 13 = -47 - 13 \ \Rightarrow\ 6x = -60$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{-60}{6} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$6\cdot(-10) + 13 = -60 + 13 = -47 \checkmark$

LaTeX source of the formulas on this page

\[ 6x + 13 = -47\ \Rightarrow\ x = -10 \]
\[ 6x + 13 = -47 \]
\[ 6x + 13 - 13 = -47 - 13 \ \Rightarrow\ 6x = -60 \]
\[ \frac{6x}{6} = \frac{-60}{6} \ \Rightarrow\ x = -10 \]
\[ 6\cdot(-10) + 13 = -60 + 13 = -47 \checkmark \]

Trying values of x in 6x + 13 = −47

x	6x + 13	Equals -47?
-12	-59	no
-11	-53	no
-10	-47	yes
-9	-41	no
-8	-35	no

Questions

What is x in 6x + 13 = −47?

The solution of 6x + 13 = −47 is x = -10.

How do you solve 6x + 13 = −47?

Subtract 13 from both sides to get 6x = -60, then divide both sides by 6 to get x = -10.

How do I check the answer?

Replace x by -10: 6(-10) + 13 = -47, which is -47.

Solve 6x + 13 = −47

How to work it out

Trying values of x in 6x + 13 = −47

Questions

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