Solve 4x + 12 = 76

The solution of 4x + 12 = 76 is x = 16.

4x + 12 = 76\ \Rightarrow\ x = 16

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The lines y = 4x + 12 and y = 76 meet at x = 16. 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.
$4x + 12 = 76$
2
Subtract 12 from both sides:
$4x + 12 - 12 = 76 - 12 \ \Rightarrow\ 4x = 64$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{64}{4} \ \Rightarrow\ x = 16$
4
Check: put x = 16 back into the equation.
$4\cdot16 + 12 = 64 + 12 = 76 \checkmark$

LaTeX source of the formulas on this page

\[ 4x + 12 = 76\ \Rightarrow\ x = 16 \]
\[ 4x + 12 = 76 \]
\[ 4x + 12 - 12 = 76 - 12 \ \Rightarrow\ 4x = 64 \]
\[ \frac{4x}{4} = \frac{64}{4} \ \Rightarrow\ x = 16 \]
\[ 4\cdot16 + 12 = 64 + 12 = 76 \checkmark \]

Trying values of x in 4x + 12 = 76

x	4x + 12	Equals 76?
14	68	no
15	72	no
16	76	yes
17	80	no
18	84	no

Questions

What is x in 4x + 12 = 76?

The solution of 4x + 12 = 76 is x = 16.

How do you solve 4x + 12 = 76?

Subtract 12 from both sides to get 4x = 64, then divide both sides by 4 to get x = 16.

How do I check the answer?

Replace x by 16: 4(16) + 12 = 76, which is 76.

Solve 4x + 12 = 76

How to work it out

Trying values of x in 4x + 12 = 76

Questions

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