Solve 10x − 13 = −53

The solution of 10x − 13 = −53 is x = -4.

10x - 13 = -53\ \Rightarrow\ x = -4

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The lines y = 10x − 13 and y = -53 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.
$10x - 13 = -53$
2
Add 13 to both sides:
$10x - 13 + 13 = -53 + 13 \ \Rightarrow\ 10x = -40$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{-40}{10} \ \Rightarrow\ x = -4$
4
Check: put x = -4 back into the equation.
$10\cdot(-4) - 13 = -40 - 13 = -53 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 13 = -53\ \Rightarrow\ x = -4 \]
\[ 10x - 13 = -53 \]
\[ 10x - 13 + 13 = -53 + 13 \ \Rightarrow\ 10x = -40 \]
\[ \frac{10x}{10} = \frac{-40}{10} \ \Rightarrow\ x = -4 \]
\[ 10\cdot(-4) - 13 = -40 - 13 = -53 \checkmark \]

Trying values of x in 10x − 13 = −53

x	10x − 13	Equals -53?
-6	-73	no
-5	-63	no
-4	-53	yes
-3	-43	no
-2	-33	no

Questions

What is x in 10x − 13 = −53?

The solution of 10x − 13 = −53 is x = -4.

How do you solve 10x − 13 = −53?

Add 13 to both sides to get 10x = -40, then divide both sides by 10 to get x = -4.

How do I check the answer?

Replace x by -4: 10(-4) − 13 = -53, which is -53.

Solve 10x − 13 = −53

How to work it out

Trying values of x in 10x − 13 = −53

Questions

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