Solve 3x + 6 = 48

The solution of 3x + 6 = 48 is x = 14.

3x + 6 = 48\ \Rightarrow\ x = 14

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The lines y = 3x + 6 and y = 48 meet at x = 14. 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.
$3x + 6 = 48$
2
Subtract 6 from both sides:
$3x + 6 - 6 = 48 - 6 \ \Rightarrow\ 3x = 42$
3
Divide both sides by 3:
$\frac{3x}{3} = \frac{42}{3} \ \Rightarrow\ x = 14$
4
Check: put x = 14 back into the equation.
$3\cdot14 + 6 = 42 + 6 = 48 \checkmark$

LaTeX source of the formulas on this page

\[ 3x + 6 = 48\ \Rightarrow\ x = 14 \]
\[ 3x + 6 = 48 \]
\[ 3x + 6 - 6 = 48 - 6 \ \Rightarrow\ 3x = 42 \]
\[ \frac{3x}{3} = \frac{42}{3} \ \Rightarrow\ x = 14 \]
\[ 3\cdot14 + 6 = 42 + 6 = 48 \checkmark \]

Trying values of x in 3x + 6 = 48

x	3x + 6	Equals 48?
12	42	no
13	45	no
14	48	yes
15	51	no
16	54	no

Questions

What is x in 3x + 6 = 48?

The solution of 3x + 6 = 48 is x = 14.

How do you solve 3x + 6 = 48?

Subtract 6 from both sides to get 3x = 42, then divide both sides by 3 to get x = 14.

How do I check the answer?

Replace x by 14: 3(14) + 6 = 48, which is 48.

Solve 3x + 6 = 48

How to work it out

Trying values of x in 3x + 6 = 48

Questions

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