Solve 2x − 2 = 36

The solution of 2x − 2 = 36 is x = 19.

2x - 2 = 36\ \Rightarrow\ x = 19

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The lines y = 2x − 2 and y = 36 meet at x = 19. 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.
$2x - 2 = 36$
2
Add 2 to both sides:
$2x - 2 + 2 = 36 + 2 \ \Rightarrow\ 2x = 38$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{38}{2} \ \Rightarrow\ x = 19$
4
Check: put x = 19 back into the equation.
$2\cdot19 - 2 = 38 - 2 = 36 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 2 = 36\ \Rightarrow\ x = 19 \]
\[ 2x - 2 = 36 \]
\[ 2x - 2 + 2 = 36 + 2 \ \Rightarrow\ 2x = 38 \]
\[ \frac{2x}{2} = \frac{38}{2} \ \Rightarrow\ x = 19 \]
\[ 2\cdot19 - 2 = 38 - 2 = 36 \checkmark \]

Trying values of x in 2x − 2 = 36

x	2x − 2	Equals 36?
17	32	no
18	34	no
19	36	yes
20	38	no
21	40	no

Questions

What is x in 2x − 2 = 36?

The solution of 2x − 2 = 36 is x = 19.

How do you solve 2x − 2 = 36?

Add 2 to both sides to get 2x = 38, then divide both sides by 2 to get x = 19.

How do I check the answer?

Replace x by 19: 2(19) − 2 = 36, which is 36.

Solve 2x − 2 = 36

How to work it out

Trying values of x in 2x − 2 = 36

Questions

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