Solve 10x − 3 = −43

The solution of 10x − 3 = −43 is x = -4.

10x - 3 = -43\ \Rightarrow\ x = -4

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The lines y = 10x − 3 and y = -43 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.
$10x - 3 = -43$
2
Add 3 to both sides:
$10x - 3 + 3 = -43 + 3 \ \Rightarrow\ 10x = -40$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{-40}{10} \ \Rightarrow\ x = -4$
4
Check: put x = -4 back into the equation.
$10\cdot(-4) - 3 = -40 - 3 = -43 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 3 = -43\ \Rightarrow\ x = -4 \]
\[ 10x - 3 = -43 \]
\[ 10x - 3 + 3 = -43 + 3 \ \Rightarrow\ 10x = -40 \]
\[ \frac{10x}{10} = \frac{-40}{10} \ \Rightarrow\ x = -4 \]
\[ 10\cdot(-4) - 3 = -40 - 3 = -43 \checkmark \]

Trying values of x in 10x − 3 = −43

x	10x − 3	Equals -43?
-6	-63	no
-5	-53	no
-4	-43	yes
-3	-33	no
-2	-23	no

Questions

What is x in 10x − 3 = −43?

The solution of 10x − 3 = −43 is x = -4.

How do you solve 10x − 3 = −43?

Add 3 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) − 3 = -43, which is -43.

Solve 10x − 3 = −43

How to work it out

Trying values of x in 10x − 3 = −43

Questions

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