Solve 12x − 14 = −98

The solution of 12x − 14 = −98 is x = -7.

12x - 14 = -98\ \Rightarrow\ x = -7

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The lines y = 12x − 14 and y = -98 meet at x = -7. 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.
$12x - 14 = -98$
2
Add 14 to both sides:
$12x - 14 + 14 = -98 + 14 \ \Rightarrow\ 12x = -84$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{-84}{12} \ \Rightarrow\ x = -7$
4
Check: put x = -7 back into the equation.
$12\cdot(-7) - 14 = -84 - 14 = -98 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 14 = -98\ \Rightarrow\ x = -7 \]
\[ 12x - 14 = -98 \]
\[ 12x - 14 + 14 = -98 + 14 \ \Rightarrow\ 12x = -84 \]
\[ \frac{12x}{12} = \frac{-84}{12} \ \Rightarrow\ x = -7 \]
\[ 12\cdot(-7) - 14 = -84 - 14 = -98 \checkmark \]

Trying values of x in 12x − 14 = −98

x	12x − 14	Equals -98?
-9	-122	no
-8	-110	no
-7	-98	yes
-6	-86	no
-5	-74	no

Questions

What is x in 12x − 14 = −98?

The solution of 12x − 14 = −98 is x = -7.

How do you solve 12x − 14 = −98?

Add 14 to both sides to get 12x = -84, then divide both sides by 12 to get x = -7.

How do I check the answer?

Replace x by -7: 12(-7) − 14 = -98, which is -98.

Solve 12x − 14 = −98

How to work it out

Trying values of x in 12x − 14 = −98

Questions

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