Solve 6x − 2 = 112

The solution of 6x − 2 = 112 is x = 19.

6x - 2 = 112\ \Rightarrow\ x = 19

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The lines y = 6x − 2 and y = 112 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.
$6x - 2 = 112$
2
Add 2 to both sides:
$6x - 2 + 2 = 112 + 2 \ \Rightarrow\ 6x = 114$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{114}{6} \ \Rightarrow\ x = 19$
4
Check: put x = 19 back into the equation.
$6\cdot19 - 2 = 114 - 2 = 112 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 2 = 112\ \Rightarrow\ x = 19 \]
\[ 6x - 2 = 112 \]
\[ 6x - 2 + 2 = 112 + 2 \ \Rightarrow\ 6x = 114 \]
\[ \frac{6x}{6} = \frac{114}{6} \ \Rightarrow\ x = 19 \]
\[ 6\cdot19 - 2 = 114 - 2 = 112 \checkmark \]

Trying values of x in 6x − 2 = 112

x	6x − 2	Equals 112?
17	100	no
18	106	no
19	112	yes
20	118	no
21	124	no

Questions

What is x in 6x − 2 = 112?

The solution of 6x − 2 = 112 is x = 19.

How do you solve 6x − 2 = 112?

Add 2 to both sides to get 6x = 114, then divide both sides by 6 to get x = 19.

How do I check the answer?

Replace x by 19: 6(19) − 2 = 112, which is 112.

Solve 6x − 2 = 112

How to work it out

Trying values of x in 6x − 2 = 112

Questions

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