What is the answer to (2(x+3))/6-(3-x)/4 =(5(5-x))/8+(x-6)/2 ?

The answer to (2(x+3))/6-(3-x)/4 =(5(5-x))/8+(x-6)/2 is x=-3/17

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(2(x+3))/6-(3-x)/4 =(5(5-x))/8+(x-6)/2

\frac{2 ( x + 3 )}{6} - \frac{3 - x}{4} = \frac{5 ( 5 - x )}{8} + \frac{x - 6}{2}

x = - \frac{3}{17}

Decimal Notation

x = - 0.17647 \dots

Solution steps

\frac{2 ( x + 3 )}{6} - \frac{3 - x}{4} = \frac{5 ( 5 - x )}{8} + \frac{x - 6}{2}

Cancel

\frac{2 ( x + 3 )}{6} : \frac{x + 3}{3}

\frac{x + 3}{3} - \frac{3 - x}{4} = \frac{5 ( 5 - x )}{8} + \frac{x - 6}{2}

Multiply by LCM

8 (x + 3) - 6 (- x + 3) = 15 (- x + 5) + 12 (x - 6)

Expand

8 (x + 3) - 6 (- x + 3) : 14 x + 6

Expand

15 (- x + 5) + 12 (x - 6) : - 3 x + 3

14 x + 6 = - 3 x + 3

Move

6

to the right side

14 x = - 3 x - 3

Move

3 x

to the left side

17 x = - 3

Divide both sides by

17

x = - \frac{3}{17}

z^{2} = 4 z + 1

a^{2} - 7 a + 12

- 2 \cdot \frac{5}{2}

5 r^{2} - 36 r = 32

4 - 2 x - 6 y + 3 x y

What is the answer to (2(x+3))/6-(3-x)/4 =(5(5-x))/8+(x-6)/2 ?
The answer to (2(x+3))/6-(3-x)/4 =(5(5-x))/8+(x-6)/2 is x=-3/17
Solve for x: (2(x+3))/6-(3-x)/4 =(5(5-x))/8+(x-6)/2
The solution is x=-3/17