What is the answer to (2*(5x-2+x))/3-(3*(x-6))/2 =(4*(x-1))/6 ?

The answer to (2*(5x-2+x))/3-(3*(x-6))/2 =(4*(x-1))/6 is x=-50/11

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(2(5x-2+x))/3-(3(x-6))/2 =(4*(x-1))/6

Solution

\frac{2 \cdot ( 5 x - 2 + x )}{3} - \frac{3 \cdot ( x - 6 )}{2} = \frac{4 \cdot ( x - 1 )}{6}

Solution

x = - \frac{50}{11}

Decimal Notation

x = - 4.54545 \dots

Solution steps

\frac{2 ( 5 x - 2 + x )}{3} - \frac{3 ( x - 6 )}{2} = \frac{4 ( x - 1 )}{6}

Simplify

5 x - 2 + x : 6 x - 2

\frac{2 ( 6 x - 2 )}{3} - \frac{3 ( x - 6 )}{2} = \frac{4 ( x - 1 )}{6}

Multiply by LCM

4 (6 x - 2) - 9 (x - 6) = 4 (x - 1)

Expand

4 (6 x - 2) - 9 (x - 6) : 15 x + 46

Expand

4 (x - 1) : 4 x - 4

15 x + 46 = 4 x - 4

Move

46

to the right side

15 x = 4 x - 50

Move

4 x

to the left side

11 x = - 50

Divide both sides by

11

x = - \frac{50}{11}

Popular Examples

y-2y=0

y - 2 y = 0

3pi=8pi*m/(360)

3 π = 8 π \cdot \frac{m}{360}

24+8x=812

24 + 8 x = 812

solvefor x,5x+10y=15 solve for

x, 5 x + 10 y = 15

15^3=64

1 5^{3} = 64

Frequently Asked Questions (FAQ)

What is the answer to (2*(5x-2+x))/3-(3*(x-6))/2 =(4*(x-1))/6 ?
The answer to (2*(5x-2+x))/3-(3*(x-6))/2 =(4*(x-1))/6 is x=-50/11
Solve for x: (2*(5x-2+x))/3-(3*(x-6))/2 =(4*(x-1))/6
The solution is x=-50/11

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is the answer to (2(5x-2+x))/3-(3(x-6))/2 =(4*(x-1))/6 ?

Solve for x: (2(5x-2+x))/3-(3(x-6))/2 =(4*(x-1))/6

(2*(5x-2+x))/3-(3*(x-6))/2 =(4*(x-1))/6

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is the answer to (2*(5x-2+x))/3-(3*(x-6))/2 =(4*(x-1))/6 ?

Solve for x: (2*(5x-2+x))/3-(3*(x-6))/2 =(4*(x-1))/6

(2(5x-2+x))/3-(3(x-6))/2 =(4*(x-1))/6

What is the answer to (2(5x-2+x))/3-(3(x-6))/2 =(4*(x-1))/6 ?

Solve for x: (2(5x-2+x))/3-(3(x-6))/2 =(4*(x-1))/6