Solve 8x + 12 = 124

The solution of 8x + 12 = 124 is x = 14.

8x + 12 = 124\ \Rightarrow\ x = 14

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The lines y = 8x + 12 and y = 124 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.
$8x + 12 = 124$
2
Subtract 12 from both sides:
$8x + 12 - 12 = 124 - 12 \ \Rightarrow\ 8x = 112$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{112}{8} \ \Rightarrow\ x = 14$
4
Check: put x = 14 back into the equation.
$8\cdot14 + 12 = 112 + 12 = 124 \checkmark$

LaTeX source of the formulas on this page

\[ 8x + 12 = 124\ \Rightarrow\ x = 14 \]
\[ 8x + 12 = 124 \]
\[ 8x + 12 - 12 = 124 - 12 \ \Rightarrow\ 8x = 112 \]
\[ \frac{8x}{8} = \frac{112}{8} \ \Rightarrow\ x = 14 \]
\[ 8\cdot14 + 12 = 112 + 12 = 124 \checkmark \]

Trying values of x in 8x + 12 = 124

x	8x + 12	Equals 124?
12	108	no
13	116	no
14	124	yes
15	132	no
16	140	no

Questions

What is x in 8x + 12 = 124?

The solution of 8x + 12 = 124 is x = 14.

How do you solve 8x + 12 = 124?

Subtract 12 from both sides to get 8x = 112, then divide both sides by 8 to get x = 14.

How do I check the answer?

Replace x by 14: 8(14) + 12 = 124, which is 124.

Solve 8x + 12 = 124

How to work it out

Trying values of x in 8x + 12 = 124

Questions

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