Solve 10x − 13 = −43

The solution of 10x − 13 = −43 is x = -3.

10x - 13 = -43\ \Rightarrow\ x = -3

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The lines y = 10x − 13 and y = -43 meet at x = -3. 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.
$10x - 13 = -43$
2
Add 13 to both sides:
$10x - 13 + 13 = -43 + 13 \ \Rightarrow\ 10x = -30$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{-30}{10} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$10\cdot(-3) - 13 = -30 - 13 = -43 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 13 = -43\ \Rightarrow\ x = -3 \]
\[ 10x - 13 = -43 \]
\[ 10x - 13 + 13 = -43 + 13 \ \Rightarrow\ 10x = -30 \]
\[ \frac{10x}{10} = \frac{-30}{10} \ \Rightarrow\ x = -3 \]
\[ 10\cdot(-3) - 13 = -30 - 13 = -43 \checkmark \]

Trying values of x in 10x − 13 = −43

x	10x − 13	Equals -43?
-5	-63	no
-4	-53	no
-3	-43	yes
-2	-33	no
-1	-23	no

Questions

What is x in 10x − 13 = −43?

The solution of 10x − 13 = −43 is x = -3.

How do you solve 10x − 13 = −43?

Add 13 to both sides to get 10x = -30, then divide both sides by 10 to get x = -3.

How do I check the answer?

Replace x by -3: 10(-3) − 13 = -43, which is -43.

Solve 10x − 13 = −43

How to work it out

Trying values of x in 10x − 13 = −43

Questions

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