Solve 10x + 1 = −49

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

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

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

LaTeX source of the formulas on this page

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

Trying values of x in 10x + 1 = −49

x	10x + 1	Equals -49?
-7	-69	no
-6	-59	no
-5	-49	yes
-4	-39	no
-3	-29	no

Questions

What is x in 10x + 1 = −49?

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

How do you solve 10x + 1 = −49?

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

How do I check the answer?

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

Solve 10x + 1 = −49

How to work it out

Trying values of x in 10x + 1 = −49

Questions

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