Solve 7x − 12 = 16

The solution of 7x − 12 = 16 is x = 4.

7x - 12 = 16\ \Rightarrow\ x = 4

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The lines y = 7x − 12 and y = 16 meet at x = 4. 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.
$7x - 12 = 16$
2
Add 12 to both sides:
$7x - 12 + 12 = 16 + 12 \ \Rightarrow\ 7x = 28$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{28}{7} \ \Rightarrow\ x = 4$
4
Check: put x = 4 back into the equation.
$7\cdot4 - 12 = 28 - 12 = 16 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 12 = 16\ \Rightarrow\ x = 4 \]
\[ 7x - 12 = 16 \]
\[ 7x - 12 + 12 = 16 + 12 \ \Rightarrow\ 7x = 28 \]
\[ \frac{7x}{7} = \frac{28}{7} \ \Rightarrow\ x = 4 \]
\[ 7\cdot4 - 12 = 28 - 12 = 16 \checkmark \]

Trying values of x in 7x − 12 = 16

x	7x − 12	Equals 16?
2	2	no
3	9	no
4	16	yes
5	23	no
6	30	no

Questions

What is x in 7x − 12 = 16?

The solution of 7x − 12 = 16 is x = 4.

How do you solve 7x − 12 = 16?

Add 12 to both sides to get 7x = 28, then divide both sides by 7 to get x = 4.

How do I check the answer?

Replace x by 4: 7(4) − 12 = 16, which is 16.

Solve 7x − 12 = 16

How to work it out

Trying values of x in 7x − 12 = 16

Questions

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