Solve 12x − 13 = 35

The solution of 12x − 13 = 35 is x = 4.

12x - 13 = 35\ \Rightarrow\ x = 4

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The lines y = 12x − 13 and y = 35 meet at x = 4. 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 subtraction, then the multiplication.
$12x - 13 = 35$
2
Add 13 to both sides:
$12x - 13 + 13 = 35 + 13 \ \Rightarrow\ 12x = 48$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{48}{12} \ \Rightarrow\ x = 4$
4
Check: put x = 4 back into the equation.
$12\cdot4 - 13 = 48 - 13 = 35 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 13 = 35\ \Rightarrow\ x = 4 \]
\[ 12x - 13 = 35 \]
\[ 12x - 13 + 13 = 35 + 13 \ \Rightarrow\ 12x = 48 \]
\[ \frac{12x}{12} = \frac{48}{12} \ \Rightarrow\ x = 4 \]
\[ 12\cdot4 - 13 = 48 - 13 = 35 \checkmark \]

Trying values of x in 12x − 13 = 35

x	12x − 13	Equals 35?
2	11	no
3	23	no
4	35	yes
5	47	no
6	59	no

Questions

What is x in 12x − 13 = 35?

The solution of 12x − 13 = 35 is x = 4.

How do you solve 12x − 13 = 35?

Add 13 to both sides to get 12x = 48, then divide both sides by 12 to get x = 4.

How do I check the answer?

Replace x by 4: 12(4) − 13 = 35, which is 35.

Solve 12x − 13 = 35

How to work it out

Trying values of x in 12x − 13 = 35

Questions

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