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Solve 8x + 10 = 138

The solution of 8x + 10 = 138 is x = 16.

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The lines y = 8x + 10 and y = 138 meet at x = 1610121416182022100120140160180x = 16y = 8x + 10y = 138
The lines y = 8x + 10 and y = 138 meet at x = 16. 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=1388x + 10 = 138
  2. 2

    Subtract 10 from both sides:

    8x+10−10=138−10 ⇒ 8x=1288x + 10 - 10 = 138 - 10 \ \Rightarrow\ 8x = 128
  3. 3

    Divide both sides by 8:

    8x8=1288 ⇒ x=16\frac{8x}{8} = \frac{128}{8} \ \Rightarrow\ x = 16
  4. 4

    Check: put x = 16 back into the equation.

    8⋅16+10=128+10=138✓8\cdot16 + 10 = 128 + 10 = 138 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 10 = 138\ \Rightarrow\ x = 16 \]
\[ 8x + 10 = 138 \]
\[ 8x + 10 - 10 = 138 - 10 \ \Rightarrow\ 8x = 128 \]
\[ \frac{8x}{8} = \frac{128}{8} \ \Rightarrow\ x = 16 \]
\[ 8\cdot16 + 10 = 128 + 10 = 138 \checkmark \]

Trying values of x in 8x + 10 = 138

x8x + 10Equals 138?
14122no
15130no
16138yes
17146no
18154no

Questions

What is x in 8x + 10 = 138?

The solution of 8x + 10 = 138 is x = 16.

How do you solve 8x + 10 = 138?

Subtract 10 from both sides to get 8x = 128, then divide both sides by 8 to get x = 16.

How do I check the answer?

Replace x by 16: 8(16) + 10 = 138, which is 138.

Similar equations

    Solve 8x + 10 = 138: x = 16 (steps and check) | WordGPT