Question

problem #5: if 4 times a number is increased by 18, the result is 10 less than 6 times the number. what is the number?
what are you trying to find out: what is the number
workspace:
solution:

Explanation:

Step1: Define the variable

Let the number be \( x \).

Step2: Translate the problem into an equation

"4 times a number is increased by 18" can be written as \( 4x + 18 \). "10 less than 6 times the number" can be written as \( 6x - 10 \). Since these two expressions are equal, we have the equation:
\( 4x + 18 = 6x - 10 \)

Step3: Solve the equation for \( x \)

Subtract \( 4x \) from both sides:
\( 18 = 2x - 10 \)
Add 10 to both sides:
\( 28 = 2x \)
Divide both sides by 2:
\( x = 14 \)

Answer:

The number is \( \boldsymbol{14} \)