## 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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4 days 2021-07-20T04:52:37+00:00 1 Answers 2 views 0

1. 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   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