Solve 7x + 1 = −62

The solution of 7x + 1 = −62 is x = -9.

7x + 1 = -62\ \Rightarrow\ x = -9

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The lines y = 7x + 1 and y = -62 meet at x = -9. 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.
$7x + 1 = -62$
2
Subtract 1 from both sides:
$7x + 1 - 1 = -62 - 1 \ \Rightarrow\ 7x = -63$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{-63}{7} \ \Rightarrow\ x = -9$
4
Check: put x = -9 back into the equation.
$7\cdot(-9) + 1 = -63 + 1 = -62 \checkmark$

LaTeX source of the formulas on this page

\[ 7x + 1 = -62\ \Rightarrow\ x = -9 \]
\[ 7x + 1 = -62 \]
\[ 7x + 1 - 1 = -62 - 1 \ \Rightarrow\ 7x = -63 \]
\[ \frac{7x}{7} = \frac{-63}{7} \ \Rightarrow\ x = -9 \]
\[ 7\cdot(-9) + 1 = -63 + 1 = -62 \checkmark \]

Trying values of x in 7x + 1 = −62

x	7x + 1	Equals -62?
-11	-76	no
-10	-69	no
-9	-62	yes
-8	-55	no
-7	-48	no

Questions

What is x in 7x + 1 = −62?

The solution of 7x + 1 = −62 is x = -9.

How do you solve 7x + 1 = −62?

Subtract 1 from both sides to get 7x = -63, then divide both sides by 7 to get x = -9.

How do I check the answer?

Replace x by -9: 7(-9) + 1 = -62, which is -62.

Solve 7x + 1 = −62

How to work it out

Trying values of x in 7x + 1 = −62

Questions

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