Solve 6x − 14 = 100

The solution of 6x − 14 = 100 is x = 19.

6x - 14 = 100\ \Rightarrow\ x = 19

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The lines y = 6x − 14 and y = 100 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.
$6x - 14 = 100$
2
Add 14 to both sides:
$6x - 14 + 14 = 100 + 14 \ \Rightarrow\ 6x = 114$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{114}{6} \ \Rightarrow\ x = 19$
4
Check: put x = 19 back into the equation.
$6\cdot19 - 14 = 114 - 14 = 100 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 14 = 100\ \Rightarrow\ x = 19 \]
\[ 6x - 14 = 100 \]
\[ 6x - 14 + 14 = 100 + 14 \ \Rightarrow\ 6x = 114 \]
\[ \frac{6x}{6} = \frac{114}{6} \ \Rightarrow\ x = 19 \]
\[ 6\cdot19 - 14 = 114 - 14 = 100 \checkmark \]

Trying values of x in 6x − 14 = 100

x	6x − 14	Equals 100?
17	88	no
18	94	no
19	100	yes
20	106	no
21	112	no

Questions

What is x in 6x − 14 = 100?

The solution of 6x − 14 = 100 is x = 19.

How do you solve 6x − 14 = 100?

Add 14 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) − 14 = 100, which is 100.

Solve 6x − 14 = 100

How to work it out

Trying values of x in 6x − 14 = 100

Questions

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