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Solve 8x + 10 = 162

The solution of 8x + 10 = 162 is x = 19.

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The lines y = 8x + 10 and y = 162 meet at x = 19141618202224120140160180200220x = 19y = 8x + 10y = 162
The lines y = 8x + 10 and y = 162 meet at x = 19. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

  1. 1

    The goal is to get x alone. Undo the operations in the opposite order: first the addition, then the multiplication.

    8x+10=1628x + 10 = 162
  2. 2

    Subtract 10 from both sides:

    8x+10−10=162−10 ⇒ 8x=1528x + 10 - 10 = 162 - 10 \ \Rightarrow\ 8x = 152
  3. 3

    Divide both sides by 8:

    8x8=1528 ⇒ x=19\frac{8x}{8} = \frac{152}{8} \ \Rightarrow\ x = 19
  4. 4

    Check: put x = 19 back into the equation.

    8⋅19+10=152+10=162✓8\cdot19 + 10 = 152 + 10 = 162 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 10 = 162\ \Rightarrow\ x = 19 \]
\[ 8x + 10 = 162 \]
\[ 8x + 10 - 10 = 162 - 10 \ \Rightarrow\ 8x = 152 \]
\[ \frac{8x}{8} = \frac{152}{8} \ \Rightarrow\ x = 19 \]
\[ 8\cdot19 + 10 = 152 + 10 = 162 \checkmark \]

Trying values of x in 8x + 10 = 162

x8x + 10Equals 162?
17146no
18154no
19162yes
20170no
21178no

Questions

What is x in 8x + 10 = 162?

The solution of 8x + 10 = 162 is x = 19.

How do you solve 8x + 10 = 162?

Subtract 10 from both sides to get 8x = 152, then divide both sides by 8 to get x = 19.

How do I check the answer?

Replace x by 19: 8(19) + 10 = 162, which is 162.

Similar equations

    Solve 8x + 10 = 162: x = 19 (steps and check) | WordGPT