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What is the value of x 7x+8(x+1\4)=3(6x-9)-8

User Dududko
by
8.4k points

2 Answers

3 votes

Answer:

x= 12 1/3

Explanation:

hope this helps:)

User TheIV
by
7.5k points
2 votes

x = 37/3 or 12.333

2.1 Pull out like factors :

6x - 9 = 3 • (2x - 3)

Equation at the end of step 2 :

1

(7x+(8•(x+—)))-(9•(2x-3)-8) = 0

4

Step 3 :

1

Simplify —

4

Equation at the end of step 3 :

1

(7x + (8 • (x + —))) - (18x - 35) = 0

4

Step 4 :

Rewriting the whole as an Equivalent Fraction :

4.1 Adding a fraction to a whole

Rewrite the whole as a fraction using 4 as the denominator :

x x • 4

x = — = —————

1 4

x • 4 + 1 4x + 1

————————— = ——————

4 4

Equation at the end of step 4 :

(4x + 1)

(7x + (8 • ————————)) - (18x - 35) = 0

4

Step 5 :

Equation at the end of step 5 :

(7x + 2 • (4x + 1)) - (18x - 35) = 0

Step 6 :

Equation at the end of step 6 :

37 - 3x = 0

Step 7 :

Solving a Single Variable Equation :

7.1 Solve : -3x+37 = 0

Subtract 37 from both sides of the equation :

-3x = -37

Multiply both sides of the equation by (-1) : 3x = 37

Divide both sides of the equation by 3:

x = 37/3 = 12.333

User Hendra
by
8.2k points

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