Question

17(2-x)-5(X+12)=8/1-7x​

Answer 1

Answer:

Step-by-step explanation:

Simplifying

17(2 + -1x) + -5(x + 12) = 8(1 + -7x)

(2 * 17 + -1x * 17) + -5(x + 12) = 8(1 + -7x)

(34 + -17x) + -5(x + 12) = 8(1 + -7x)

Reorder the terms:

34 + -17x + -5(12 + x) = 8(1 + -7x)

34 + -17x + (12 * -5 + x * -5) = 8(1 + -7x)

34 + -17x + (-60 + -5x) = 8(1 + -7x)

Reorder the terms:

34 + -60 + -17x + -5x = 8(1 + -7x)

Combine like terms: 34 + -60 = -26

-26 + -17x + -5x = 8(1 + -7x)

Combine like terms: -17x + -5x = -22x

-26 + -22x = 8(1 + -7x)

-26 + -22x = (1 * 8 + -7x * 8)

-26 + -22x = (8 + -56x)

Solving

-26 + -22x = 8 + -56x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '56x' to each side of the equation.

-26 + -22x + 56x = 8 + -56x + 56x

Combine like terms: -22x + 56x = 34x

-26 + 34x = 8 + -56x + 56x

Combine like terms: -56x + 56x = 0

-26 + 34x = 8 + 0

-26 + 34x = 8

Add '26' to each side of the equation.

-26 + 26 + 34x = 8 + 26

Combine like terms: -26 + 26 = 0

0 + 34x = 8 + 26

34x = 8 + 26

Combine like terms: 8 + 26 = 34

34x = 34

Divide each side by '34'.

x = 1

Simplifying

x = 1

 

Answer 2

$17(2 - x) - 1. \frac{5(x + 12)}{1} - 7x = 8$

$17( - 2 + 2) - 1. \frac{5(x + 12)}{1} - 7x = 8$

$- 17x + 34 - 1. \frac{5(x - 12)}{1} - 7x = 8$

$-17x+34-1(5x+60)-7x=8$

$- 17x + 34 - 5x - 60 - 7x = 8$

$- 17x - 26 - 5x - 7x = 8$

$- 29x - 26 = 8$

$- 29x - 26 + 26 = 8 + 26$

$- 29x = + 8 + 26 \\ - \: 29x = - 26 + 26 \\ \: \: \: \: \: \: \: \: \: \: \: \: \ + \: \: \: \: \: \: - \\ - 29x = 34$

$\frac{ - 29x}{ - 29} = \frac{34}{ - 29}$

answer :

$x = \frac{ - 34}{29}$