Solve 7x + 10 = −32

The solution of 7x + 10 = −32 is x = -6.

7x + 10 = -32\ \Rightarrow\ x = -6

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The lines y = 7x + 10 and y = -32 meet at x = -6. 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.
$7x + 10 = -32$
2
Subtract 10 from both sides:
$7x + 10 - 10 = -32 - 10 \ \Rightarrow\ 7x = -42$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{-42}{7} \ \Rightarrow\ x = -6$
4
Check: put x = -6 back into the equation.
$7\cdot(-6) + 10 = -42 + 10 = -32 \checkmark$

LaTeX source of the formulas on this page

\[ 7x + 10 = -32\ \Rightarrow\ x = -6 \]
\[ 7x + 10 = -32 \]
\[ 7x + 10 - 10 = -32 - 10 \ \Rightarrow\ 7x = -42 \]
\[ \frac{7x}{7} = \frac{-42}{7} \ \Rightarrow\ x = -6 \]
\[ 7\cdot(-6) + 10 = -42 + 10 = -32 \checkmark \]

Trying values of x in 7x + 10 = −32

x	7x + 10	Equals -32?
-8	-46	no
-7	-39	no
-6	-32	yes
-5	-25	no
-4	-18	no

Questions

What is x in 7x + 10 = −32?

The solution of 7x + 10 = −32 is x = -6.

How do you solve 7x + 10 = −32?

Subtract 10 from both sides to get 7x = -42, then divide both sides by 7 to get x = -6.

How do I check the answer?

Replace x by -6: 7(-6) + 10 = -32, which is -32.

Solve 7x + 10 = −32

How to work it out

Trying values of x in 7x + 10 = −32

Questions

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