Solve 12x − 10 = −46

The solution of 12x − 10 = −46 is x = -3.

12x - 10 = -46\ \Rightarrow\ x = -3

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The lines y = 12x − 10 and y = -46 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.
$12x - 10 = -46$
2
Add 10 to both sides:
$12x - 10 + 10 = -46 + 10 \ \Rightarrow\ 12x = -36$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{-36}{12} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$12\cdot(-3) - 10 = -36 - 10 = -46 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 10 = -46\ \Rightarrow\ x = -3 \]
\[ 12x - 10 = -46 \]
\[ 12x - 10 + 10 = -46 + 10 \ \Rightarrow\ 12x = -36 \]
\[ \frac{12x}{12} = \frac{-36}{12} \ \Rightarrow\ x = -3 \]
\[ 12\cdot(-3) - 10 = -36 - 10 = -46 \checkmark \]

Trying values of x in 12x − 10 = −46

x	12x − 10	Equals -46?
-5	-70	no
-4	-58	no
-3	-46	yes
-2	-34	no
-1	-22	no

Questions

What is x in 12x − 10 = −46?

The solution of 12x − 10 = −46 is x = -3.

How do you solve 12x − 10 = −46?

Add 10 to both sides to get 12x = -36, then divide both sides by 12 to get x = -3.

How do I check the answer?

Replace x by -3: 12(-3) − 10 = -46, which is -46.

Solve 12x − 10 = −46

How to work it out

Trying values of x in 12x − 10 = −46

Questions

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