Solve 3x − 13 = −28

The solution of 3x − 13 = −28 is x = -5.

3x - 13 = -28\ \Rightarrow\ x = -5

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The lines y = 3x − 13 and y = -28 meet at x = -5. 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.
$3x - 13 = -28$
2
Add 13 to both sides:
$3x - 13 + 13 = -28 + 13 \ \Rightarrow\ 3x = -15$
3
Divide both sides by 3:
$\frac{3x}{3} = \frac{-15}{3} \ \Rightarrow\ x = -5$
4
Check: put x = -5 back into the equation.
$3\cdot(-5) - 13 = -15 - 13 = -28 \checkmark$

LaTeX source of the formulas on this page

\[ 3x - 13 = -28\ \Rightarrow\ x = -5 \]
\[ 3x - 13 = -28 \]
\[ 3x - 13 + 13 = -28 + 13 \ \Rightarrow\ 3x = -15 \]
\[ \frac{3x}{3} = \frac{-15}{3} \ \Rightarrow\ x = -5 \]
\[ 3\cdot(-5) - 13 = -15 - 13 = -28 \checkmark \]

Trying values of x in 3x − 13 = −28

x	3x − 13	Equals -28?
-7	-34	no
-6	-31	no
-5	-28	yes
-4	-25	no
-3	-22	no

Questions

What is x in 3x − 13 = −28?

The solution of 3x − 13 = −28 is x = -5.

How do you solve 3x − 13 = −28?

Add 13 to both sides to get 3x = -15, then divide both sides by 3 to get x = -5.

How do I check the answer?

Replace x by -5: 3(-5) − 13 = -28, which is -28.

Solve 3x − 13 = −28

How to work it out

Trying values of x in 3x − 13 = −28

Questions

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