Solve 5x + 1 = −49

The solution of 5x + 1 = −49 is x = -10.

5x + 1 = -49\ \Rightarrow\ x = -10

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The lines y = 5x + 1 and y = -49 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.
$5x + 1 = -49$
2
Subtract 1 from both sides:
$5x + 1 - 1 = -49 - 1 \ \Rightarrow\ 5x = -50$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{-50}{5} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$5\cdot(-10) + 1 = -50 + 1 = -49 \checkmark$

LaTeX source of the formulas on this page

\[ 5x + 1 = -49\ \Rightarrow\ x = -10 \]
\[ 5x + 1 = -49 \]
\[ 5x + 1 - 1 = -49 - 1 \ \Rightarrow\ 5x = -50 \]
\[ \frac{5x}{5} = \frac{-50}{5} \ \Rightarrow\ x = -10 \]
\[ 5\cdot(-10) + 1 = -50 + 1 = -49 \checkmark \]

Trying values of x in 5x + 1 = −49

x	5x + 1	Equals -49?
-12	-59	no
-11	-54	no
-10	-49	yes
-9	-44	no
-8	-39	no

Questions

What is x in 5x + 1 = −49?

The solution of 5x + 1 = −49 is x = -10.

How do you solve 5x + 1 = −49?

Subtract 1 from both sides to get 5x = -50, then divide both sides by 5 to get x = -10.

How do I check the answer?

Replace x by -10: 5(-10) + 1 = -49, which is -49.

Solve 5x + 1 = −49

How to work it out

Trying values of x in 5x + 1 = −49

Questions

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