Examkin

Question

Difficulty: MediumSolving One-Variable Linear Equations

An equation is given as:

2(3h−5)=4(h+1)−6 2(3h - 5) = 4(h + 1) - 6

What is the value of hh?

  1. A
    -6
  2. B
    10
  3. 4Answer
  4. D
    0

Answer

The correct value of hh is 4.
The correct answer is found by properly distributing the values into both sets of parentheses, combining the constants on the right side correctly (+4 - 6 = -2), and then maintaining the balance of the equation while isolating the variable using inverse operations.

Step-by-Step Solution

1
Distribute the coefficients to the terms inside the parentheses on both sides of the equation.
6h−10=4h+4−66h - 10 = 4h + 4 - 6
To eliminate the parentheses according to the distributive property.
2
Combine the constant terms on the right side of the equation.
6h−10=4h−26h - 10 = 4h - 2
To simplify the right side by calculating +4−6+4 - 6.
3
Subtract 4h4h from both sides of the equation.
2h−10=−22h - 10 = -2
To group all variable terms containing hh onto the left side.
4
Add 10 to both sides of the equation.
2h=82h = 8
To isolate the variable term by canceling out the −10-10 on the left side.
5
Divide both sides by 2.
h=4h = 4
To solve for the final value of hh.

Key Concept

Solving One-Variable Linear Equations
Rate this question

Topics

Solving One-Variable Linear Equations

More questions from this topic