Solve 6x + 12 = 60

The solution of 6x + 12 = 60 is x = 8.

6x + 12 = 60\ \Rightarrow\ x = 8

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The lines y = 6x + 12 and y = 60 meet at x = 8. 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 addition, then the multiplication.
$6x + 12 = 60$
2
Subtract 12 from both sides:
$6x + 12 - 12 = 60 - 12 \ \Rightarrow\ 6x = 48$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{48}{6} \ \Rightarrow\ x = 8$
4
Check: put x = 8 back into the equation.
$6\cdot8 + 12 = 48 + 12 = 60 \checkmark$

LaTeX source of the formulas on this page

\[ 6x + 12 = 60\ \Rightarrow\ x = 8 \]
\[ 6x + 12 = 60 \]
\[ 6x + 12 - 12 = 60 - 12 \ \Rightarrow\ 6x = 48 \]
\[ \frac{6x}{6} = \frac{48}{6} \ \Rightarrow\ x = 8 \]
\[ 6\cdot8 + 12 = 48 + 12 = 60 \checkmark \]

Trying values of x in 6x + 12 = 60

x	6x + 12	Equals 60?
6	48	no
7	54	no
8	60	yes
9	66	no
10	72	no

Questions

What is x in 6x + 12 = 60?

The solution of 6x + 12 = 60 is x = 8.

How do you solve 6x + 12 = 60?

Subtract 12 from both sides to get 6x = 48, then divide both sides by 6 to get x = 8.

How do I check the answer?

Replace x by 8: 6(8) + 12 = 60, which is 60.

Solve 6x + 12 = 60

How to work it out

Trying values of x in 6x + 12 = 60

Questions

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