Solve 7x − 2 = −44

The solution of 7x − 2 = −44 is x = -6.

7x - 2 = -44\ \Rightarrow\ x = -6

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The lines y = 7x − 2 and y = -44 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 subtraction, then the multiplication.
$7x - 2 = -44$
2
Add 2 to both sides:
$7x - 2 + 2 = -44 + 2 \ \Rightarrow\ 7x = -42$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{-42}{7} \ \Rightarrow\ x = -6$
4
Check: put x = -6 back into the equation.
$7\cdot(-6) - 2 = -42 - 2 = -44 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 2 = -44\ \Rightarrow\ x = -6 \]
\[ 7x - 2 = -44 \]
\[ 7x - 2 + 2 = -44 + 2 \ \Rightarrow\ 7x = -42 \]
\[ \frac{7x}{7} = \frac{-42}{7} \ \Rightarrow\ x = -6 \]
\[ 7\cdot(-6) - 2 = -42 - 2 = -44 \checkmark \]

Trying values of x in 7x − 2 = −44

x	7x − 2	Equals -44?
-8	-58	no
-7	-51	no
-6	-44	yes
-5	-37	no
-4	-30	no

Questions

What is x in 7x − 2 = −44?

The solution of 7x − 2 = −44 is x = -6.

How do you solve 7x − 2 = −44?

Add 2 to 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) − 2 = -44, which is -44.

Solve 7x − 2 = −44

How to work it out

Trying values of x in 7x − 2 = −44

Questions

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