Solve 6x + 10 = −50

The solution of 6x + 10 = −50 is x = -10.

6x + 10 = -50\ \Rightarrow\ x = -10

Explain it step by step in chat Make a short video of it

The lines y = 6x + 10 and y = -50 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.
$6x + 10 = -50$
2
Subtract 10 from both sides:
$6x + 10 - 10 = -50 - 10 \ \Rightarrow\ 6x = -60$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{-60}{6} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$6\cdot(-10) + 10 = -60 + 10 = -50 \checkmark$

LaTeX source of the formulas on this page

\[ 6x + 10 = -50\ \Rightarrow\ x = -10 \]
\[ 6x + 10 = -50 \]
\[ 6x + 10 - 10 = -50 - 10 \ \Rightarrow\ 6x = -60 \]
\[ \frac{6x}{6} = \frac{-60}{6} \ \Rightarrow\ x = -10 \]
\[ 6\cdot(-10) + 10 = -60 + 10 = -50 \checkmark \]

Trying values of x in 6x + 10 = −50

x	6x + 10	Equals -50?
-12	-62	no
-11	-56	no
-10	-50	yes
-9	-44	no
-8	-38	no

Questions

What is x in 6x + 10 = −50?

The solution of 6x + 10 = −50 is x = -10.

How do you solve 6x + 10 = −50?

Subtract 10 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) + 10 = -50, which is -50.

Solve 6x + 10 = −50

How to work it out

Trying values of x in 6x + 10 = −50

Questions

Similar equations