Solve 5x + 2 = −43

The solution of 5x + 2 = −43 is x = -9.

5x + 2 = -43\ \Rightarrow\ x = -9

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The lines y = 5x + 2 and y = -43 meet at x = -9. 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 addition, then the multiplication.
$5x + 2 = -43$
2
Subtract 2 from both sides:
$5x + 2 - 2 = -43 - 2 \ \Rightarrow\ 5x = -45$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{-45}{5} \ \Rightarrow\ x = -9$
4
Check: put x = -9 back into the equation.
$5\cdot(-9) + 2 = -45 + 2 = -43 \checkmark$

LaTeX source of the formulas on this page

\[ 5x + 2 = -43\ \Rightarrow\ x = -9 \]
\[ 5x + 2 = -43 \]
\[ 5x + 2 - 2 = -43 - 2 \ \Rightarrow\ 5x = -45 \]
\[ \frac{5x}{5} = \frac{-45}{5} \ \Rightarrow\ x = -9 \]
\[ 5\cdot(-9) + 2 = -45 + 2 = -43 \checkmark \]

Trying values of x in 5x + 2 = −43

x	5x + 2	Equals -43?
-11	-53	no
-10	-48	no
-9	-43	yes
-8	-38	no
-7	-33	no

Questions

What is x in 5x + 2 = −43?

The solution of 5x + 2 = −43 is x = -9.

How do you solve 5x + 2 = −43?

Subtract 2 from both sides to get 5x = -45, then divide both sides by 5 to get x = -9.

How do I check the answer?

Replace x by -9: 5(-9) + 2 = -43, which is -43.

Solve 5x + 2 = −43

How to work it out

Trying values of x in 5x + 2 = −43

Questions

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