Solve 5x − 13 = −43

The solution of 5x − 13 = −43 is x = -6.

5x - 13 = -43\ \Rightarrow\ x = -6

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The lines y = 5x − 13 and y = -43 meet at x = -6. 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.
$5x - 13 = -43$
2
Add 13 to both sides:
$5x - 13 + 13 = -43 + 13 \ \Rightarrow\ 5x = -30$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{-30}{5} \ \Rightarrow\ x = -6$
4
Check: put x = -6 back into the equation.
$5\cdot(-6) - 13 = -30 - 13 = -43 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 13 = -43\ \Rightarrow\ x = -6 \]
\[ 5x - 13 = -43 \]
\[ 5x - 13 + 13 = -43 + 13 \ \Rightarrow\ 5x = -30 \]
\[ \frac{5x}{5} = \frac{-30}{5} \ \Rightarrow\ x = -6 \]
\[ 5\cdot(-6) - 13 = -30 - 13 = -43 \checkmark \]

Trying values of x in 5x − 13 = −43

x	5x − 13	Equals -43?
-8	-53	no
-7	-48	no
-6	-43	yes
-5	-38	no
-4	-33	no

Questions

What is x in 5x − 13 = −43?

The solution of 5x − 13 = −43 is x = -6.

How do you solve 5x − 13 = −43?

Add 13 to both sides to get 5x = -30, then divide both sides by 5 to get x = -6.

How do I check the answer?

Replace x by -6: 5(-6) − 13 = -43, which is -43.

Solve 5x − 13 = −43

How to work it out

Trying values of x in 5x − 13 = −43

Questions

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