## 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 = 1/2x + 1/4x

A. 6

B. 72

C. 14 2/5

D. 2

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Mathematics
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2021-07-20T04:52:37+00:00
2021-07-20T04:52:37+00:00 1 Answers
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## Answers ( )

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

ANSWER:In all choices the correct answer is B

STEP-BY-STEPEXPLANATION:Since

xis on the right side of the equation, switch the sides so it is on the left side of the equationFirst,Combine , to x

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

Second,Multiply and

Multiply 2 and 2

Combine the numerators over the common denominator

Third,Move 2 to the left of x

Add 2x and x

Combine and x

Fourth,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,Multiply and

Multiply 4 and 3

Multiply and

Multiply 3 and 4

Combine the numerators over the common denominator

Sixth,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,Cancel the common factor

Rewrite the expression

Lastly,hope it’s helps