Solve 4x + 6 = 38

The solution of 4x + 6 = 38 is x = 8.

4x + 6 = 38\ \Rightarrow\ x = 8

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The lines y = 4x + 6 and y = 38 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.
$4x + 6 = 38$
2
Subtract 6 from both sides:
$4x + 6 - 6 = 38 - 6 \ \Rightarrow\ 4x = 32$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{32}{4} \ \Rightarrow\ x = 8$
4
Check: put x = 8 back into the equation.
$4\cdot8 + 6 = 32 + 6 = 38 \checkmark$

LaTeX source of the formulas on this page

\[ 4x + 6 = 38\ \Rightarrow\ x = 8 \]
\[ 4x + 6 = 38 \]
\[ 4x + 6 - 6 = 38 - 6 \ \Rightarrow\ 4x = 32 \]
\[ \frac{4x}{4} = \frac{32}{4} \ \Rightarrow\ x = 8 \]
\[ 4\cdot8 + 6 = 32 + 6 = 38 \checkmark \]

Trying values of x in 4x + 6 = 38

x	4x + 6	Equals 38?
6	30	no
7	34	no
8	38	yes
9	42	no
10	46	no

Questions

What is x in 4x + 6 = 38?

The solution of 4x + 6 = 38 is x = 8.

How do you solve 4x + 6 = 38?

Subtract 6 from both sides to get 4x = 32, then divide both sides by 4 to get x = 8.

How do I check the answer?

Replace x by 8: 4(8) + 6 = 38, which is 38.

Solve 4x + 6 = 38

How to work it out

Trying values of x in 4x + 6 = 38

Questions

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