Solve the following equation. 2/3 x + 6 = 1/2x + 1/4x A. 6
B. 72
C. 14 2/5
D. 2

QUESTION:

Solve the following equation 2/3 x + 6 = 1/2 x + 1/4x

In all choices the correct answer is B

STEP-BY-STEP EXPLANATION:

Since x is on the right side of the equation, switch the sides so it is on the left side of the equation

First, Simply each term

Combine , to x

To write as a fraction with a common denominator, multiply by

Second, Write each expression with a common denominator of 4, by multiplying each by appropriate factor of 1

Multiply and

Multiply 2 and 2

Combine the numerators over the common denominator

Third, Simplify the numerator

Move 2 to the left of x

Add 2x and x

Combine and x

Fourth, Move all terms containing x to the left side of the equation

Subtract from both sides of the equation

To write as a fraction with a common denominator, multiply by

To write as a fraction with a common denominator, multiply by

Fifth, Write each expression with a common denominator of 12, by multiplying each by an appropriate factor of 1

Multiply and

Multiply 4 and 3

Multiply and

Multiply 3 and 4

Combine the numerators over the common denominator

Sixth, Simplify the numerator

Factor x out of 3x ×3 - 2x × 4

Multiply 3 by 3

Multiply - 2 by 4

Subtract 8 from 9

Multiply x by 1

Multiply both sides of the equation by 12

Seventh, Simplify both sides of the equation and cancel the common factor of 12

Cancel the common factor

Rewrite the expression

Lastly, Multiply 12 by 6

hope it's helps