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Solve 8x + 5 = 101

The solution of 8x + 5 = 101 is x = 12.

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The lines y = 8x + 5 and y = 101 meet at x = 126810121416186080100120140x = 12y = 8x + 5y = 101
The lines y = 8x + 5 and y = 101 meet at x = 12. 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+5=1018x + 5 = 101
  2. 2

    Subtract 5 from both sides:

    8x+5−5=101−5 ⇒ 8x=968x + 5 - 5 = 101 - 5 \ \Rightarrow\ 8x = 96
  3. 3

    Divide both sides by 8:

    8x8=968 ⇒ x=12\frac{8x}{8} = \frac{96}{8} \ \Rightarrow\ x = 12
  4. 4

    Check: put x = 12 back into the equation.

    8⋅12+5=96+5=101✓8\cdot12 + 5 = 96 + 5 = 101 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 5 = 101\ \Rightarrow\ x = 12 \]
\[ 8x + 5 = 101 \]
\[ 8x + 5 - 5 = 101 - 5 \ \Rightarrow\ 8x = 96 \]
\[ \frac{8x}{8} = \frac{96}{8} \ \Rightarrow\ x = 12 \]
\[ 8\cdot12 + 5 = 96 + 5 = 101 \checkmark \]

Trying values of x in 8x + 5 = 101

x8x + 5Equals 101?
1085no
1193no
12101yes
13109no
14117no

Questions

What is x in 8x + 5 = 101?

The solution of 8x + 5 = 101 is x = 12.

How do you solve 8x + 5 = 101?

Subtract 5 from both sides to get 8x = 96, then divide both sides by 8 to get x = 12.

How do I check the answer?

Replace x by 12: 8(12) + 5 = 101, which is 101.

Similar equations

    Solve 8x + 5 = 101: x = 12 (steps and check) | WordGPT