Solve 7x − 12 = −33

The solution of 7x − 12 = −33 is x = -3.

7x - 12 = -33\ \Rightarrow\ x = -3

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The lines y = 7x − 12 and y = -33 meet at x = -3. 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.
$7x - 12 = -33$
2
Add 12 to both sides:
$7x - 12 + 12 = -33 + 12 \ \Rightarrow\ 7x = -21$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{-21}{7} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$7\cdot(-3) - 12 = -21 - 12 = -33 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 12 = -33\ \Rightarrow\ x = -3 \]
\[ 7x - 12 = -33 \]
\[ 7x - 12 + 12 = -33 + 12 \ \Rightarrow\ 7x = -21 \]
\[ \frac{7x}{7} = \frac{-21}{7} \ \Rightarrow\ x = -3 \]
\[ 7\cdot(-3) - 12 = -21 - 12 = -33 \checkmark \]

Trying values of x in 7x − 12 = −33

x	7x − 12	Equals -33?
-5	-47	no
-4	-40	no
-3	-33	yes
-2	-26	no
-1	-19	no

Questions

What is x in 7x − 12 = −33?

The solution of 7x − 12 = −33 is x = -3.

How do you solve 7x − 12 = −33?

Add 12 to both sides to get 7x = -21, then divide both sides by 7 to get x = -3.

How do I check the answer?

Replace x by -3: 7(-3) − 12 = -33, which is -33.

Solve 7x − 12 = −33

How to work it out

Trying values of x in 7x − 12 = −33

Questions

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