Solve 11x + 4 = −29

The solution of 11x + 4 = −29 is x = -3.

11x + 4 = -29\ \Rightarrow\ x = -3

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The lines y = 11x + 4 and y = -29 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 addition, then the multiplication.
$11x + 4 = -29$
2
Subtract 4 from both sides:
$11x + 4 - 4 = -29 - 4 \ \Rightarrow\ 11x = -33$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-33}{11} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$11\cdot(-3) + 4 = -33 + 4 = -29 \checkmark$

LaTeX source of the formulas on this page

\[ 11x + 4 = -29\ \Rightarrow\ x = -3 \]
\[ 11x + 4 = -29 \]
\[ 11x + 4 - 4 = -29 - 4 \ \Rightarrow\ 11x = -33 \]
\[ \frac{11x}{11} = \frac{-33}{11} \ \Rightarrow\ x = -3 \]
\[ 11\cdot(-3) + 4 = -33 + 4 = -29 \checkmark \]

Trying values of x in 11x + 4 = −29

x	11x + 4	Equals -29?
-5	-51	no
-4	-40	no
-3	-29	yes
-2	-18	no
-1	-7	no

Questions

What is x in 11x + 4 = −29?

The solution of 11x + 4 = −29 is x = -3.

How do you solve 11x + 4 = −29?

Subtract 4 from both sides to get 11x = -33, then divide both sides by 11 to get x = -3.

How do I check the answer?

Replace x by -3: 11(-3) + 4 = -29, which is -29.

Solve 11x + 4 = −29

How to work it out

Trying values of x in 11x + 4 = −29

Questions

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