What is the answer to (4x-6)/(10)+2x=21-(3(x+1))/(12) ?

The answer to (4x-6)/(10)+2x=21-(3(x+1))/(12) is x= 427/53

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(4x-6)/(10)+2x=21-(3(x+1))/(12)

\frac{4 x - 6}{10} + 2 x = 21 - \frac{3 ( x + 1 )}{12}

x = \frac{427}{53}

Decimal Notation

x = 8.05660 \dots

Solution steps

\frac{4 x - 6}{10} + 2 x = 21 - \frac{3 ( x + 1 )}{12}

Cancel

\frac{3 ( x + 1 )}{12} : \frac{x + 1}{4}

\frac{4 x - 6}{10} + 2 x = 21 - \frac{x + 1}{4}

Multiply by LCM

4 (2 x - 3) + 40 x = 420 - 5 (x + 1)

Expand

4 (2 x - 3) + 40 x : 48 x - 12

Expand

420 - 5 (x + 1) : - 5 x + 415

48 x - 12 = - 5 x + 415

Move

12

to the right side

48 x = - 5 x + 427

Move

5 x

to the left side

53 x = 427

Divide both sides by

53

x = \frac{427}{53}

y^{2} + 13 y = - 42

5 ∣ 2 x - 1 ∣ = 15

x^{2} - 14 x + 33 = 0

\frac{29}{4} \cdot 2

2 (m - 1) - 3 (m - 1)^{2} + 2 (m - 1)^{3}

What is the answer to (4x-6)/(10)+2x=21-(3(x+1))/(12) ?
The answer to (4x-6)/(10)+2x=21-(3(x+1))/(12) is x= 427/53
Solve for x: (4x-6)/(10)+2x=21-(3(x+1))/(12)
The solution is x= 427/53