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Solve 10x + 14 = 94

The solution of 10x + 14 = 94 is x = 8.

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The lines y = 10x + 14 and y = 94 meet at x = 82468101214406080100120140160x = 8y = 10x + 14y = 94
The lines y = 10x + 14 and y = 94 meet at x = 8. 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.

    10x+14=9410x + 14 = 94
  2. 2

    Subtract 14 from both sides:

    10x+14−14=94−14 ⇒ 10x=8010x + 14 - 14 = 94 - 14 \ \Rightarrow\ 10x = 80
  3. 3

    Divide both sides by 10:

    10x10=8010 ⇒ x=8\frac{10x}{10} = \frac{80}{10} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    10⋅8+14=80+14=94✓10\cdot8 + 14 = 80 + 14 = 94 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 14 = 94\ \Rightarrow\ x = 8 \]
\[ 10x + 14 = 94 \]
\[ 10x + 14 - 14 = 94 - 14 \ \Rightarrow\ 10x = 80 \]
\[ \frac{10x}{10} = \frac{80}{10} \ \Rightarrow\ x = 8 \]
\[ 10\cdot8 + 14 = 80 + 14 = 94 \checkmark \]

Trying values of x in 10x + 14 = 94

x10x + 14Equals 94?
674no
784no
894yes
9104no
10114no

Questions

What is x in 10x + 14 = 94?

The solution of 10x + 14 = 94 is x = 8.

How do you solve 10x + 14 = 94?

Subtract 14 from both sides to get 10x = 80, then divide both sides by 10 to get x = 8.

How do I check the answer?

Replace x by 8: 10(8) + 14 = 94, which is 94.

Similar equations

    Solve 10x + 14 = 94: x = 8 (steps and check) | WordGPT