Solve 8x + 14 = 158

The solution of 8x + 14 = 158 is x = 18.

8x + 14 = 158\ \Rightarrow\ x = 18

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The lines y = 8x + 14 and y = 158 meet at x = 18. 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.
$8x + 14 = 158$
2
Subtract 14 from both sides:
$8x + 14 - 14 = 158 - 14 \ \Rightarrow\ 8x = 144$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{144}{8} \ \Rightarrow\ x = 18$
4
Check: put x = 18 back into the equation.
$8\cdot18 + 14 = 144 + 14 = 158 \checkmark$

LaTeX source of the formulas on this page

\[ 8x + 14 = 158\ \Rightarrow\ x = 18 \]
\[ 8x + 14 = 158 \]
\[ 8x + 14 - 14 = 158 - 14 \ \Rightarrow\ 8x = 144 \]
\[ \frac{8x}{8} = \frac{144}{8} \ \Rightarrow\ x = 18 \]
\[ 8\cdot18 + 14 = 144 + 14 = 158 \checkmark \]

Trying values of x in 8x + 14 = 158

x	8x + 14	Equals 158?
16	142	no
17	150	no
18	158	yes
19	166	no
20	174	no

Questions

What is x in 8x + 14 = 158?

The solution of 8x + 14 = 158 is x = 18.

How do you solve 8x + 14 = 158?

Subtract 14 from both sides to get 8x = 144, then divide both sides by 8 to get x = 18.

How do I check the answer?

Replace x by 18: 8(18) + 14 = 158, which is 158.

Solve 8x + 14 = 158

How to work it out

Trying values of x in 8x + 14 = 158

Questions

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