Solve 7x + 2 = −33

The solution of 7x + 2 = −33 is x = -5.

7x + 2 = -33\ \Rightarrow\ x = -5

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The lines y = 7x + 2 and y = -33 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.
$7x + 2 = -33$
2
Subtract 2 from both sides:
$7x + 2 - 2 = -33 - 2 \ \Rightarrow\ 7x = -35$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{-35}{7} \ \Rightarrow\ x = -5$
4
Check: put x = -5 back into the equation.
$7\cdot(-5) + 2 = -35 + 2 = -33 \checkmark$

LaTeX source of the formulas on this page

\[ 7x + 2 = -33\ \Rightarrow\ x = -5 \]
\[ 7x + 2 = -33 \]
\[ 7x + 2 - 2 = -33 - 2 \ \Rightarrow\ 7x = -35 \]
\[ \frac{7x}{7} = \frac{-35}{7} \ \Rightarrow\ x = -5 \]
\[ 7\cdot(-5) + 2 = -35 + 2 = -33 \checkmark \]

Trying values of x in 7x + 2 = −33

x	7x + 2	Equals -33?
-7	-47	no
-6	-40	no
-5	-33	yes
-4	-26	no
-3	-19	no

Questions

What is x in 7x + 2 = −33?

The solution of 7x + 2 = −33 is x = -5.

How do you solve 7x + 2 = −33?

Subtract 2 from both sides to get 7x = -35, then divide both sides by 7 to get x = -5.

How do I check the answer?

Replace x by -5: 7(-5) + 2 = -33, which is -33.

Solve 7x + 2 = −33

How to work it out

Trying values of x in 7x + 2 = −33

Questions

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