Solve 12x + 5 = −7

The solution of 12x + 5 = −7 is x = -1.

12x + 5 = -7\ \Rightarrow\ x = -1

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The lines y = 12x + 5 and y = -7 meet at x = -1. 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.
$12x + 5 = -7$
2
Subtract 5 from both sides:
$12x + 5 - 5 = -7 - 5 \ \Rightarrow\ 12x = -12$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{-12}{12} \ \Rightarrow\ x = -1$
4
Check: put x = -1 back into the equation.
$12\cdot(-1) + 5 = -12 + 5 = -7 \checkmark$

LaTeX source of the formulas on this page

\[ 12x + 5 = -7\ \Rightarrow\ x = -1 \]
\[ 12x + 5 = -7 \]
\[ 12x + 5 - 5 = -7 - 5 \ \Rightarrow\ 12x = -12 \]
\[ \frac{12x}{12} = \frac{-12}{12} \ \Rightarrow\ x = -1 \]
\[ 12\cdot(-1) + 5 = -12 + 5 = -7 \checkmark \]

Trying values of x in 12x + 5 = −7

x	12x + 5	Equals -7?
-3	-31	no
-2	-19	no
-1	-7	yes
0	5	no
1	17	no

Questions

What is x in 12x + 5 = −7?

The solution of 12x + 5 = −7 is x = -1.

How do you solve 12x + 5 = −7?

Subtract 5 from both sides to get 12x = -12, then divide both sides by 12 to get x = -1.

How do I check the answer?

Replace x by -1: 12(-1) + 5 = -7, which is -7.

Solve 12x + 5 = −7

How to work it out

Trying values of x in 12x + 5 = −7

Questions

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