-2(8+8x)+7x=-7x+2(x-8)

Mathematics

1 answer:

Inessa [10]3 years ago

7 0

x=0 .

−2(8+8x)+7x=−7x+2(x−8)

Step 1: Simplify both sides of the equation.

−2(8+8x)+7x=−7x+2(x−8)

(−2)(8)+(−2)(8x)+7x=−7x+(2)(x)+(2)(−8)(Distribute)

−16+−16x+7x=−7x+2x+−16

(−16x+7x)+(−16)=(−7x+2x)+(−16)(Combine Like Terms)

−9x+−16=−5x+−16

−9x−16=−5x−16

Step 2: Add 5x to both sides.

−9x−16+5x=−5x−16+5x

−4x−16=−16

Step 3: Add 16 to both sides.

−4x−16+16=−16+16

−4x=0

Step 4: Divide both sides by -4.

−4x /−4 = 0 /−4

x=0

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$= > x + \frac{1}{3} = 9$

$\text{Add} \: - \frac{1}{3} \: \text{ on both sides ,}$

$= > x + \frac{1}{3} - \frac{1}{3} = 9 - \frac{1}{3} \\ \\ \\ \\ = > x = \frac{(9 \times 3) - 1}{3} \\ \\ \\ \\ = > x = \frac{27 - 1}{3} \\ \\ \\ \boxed{ \bold{= > x = \frac{26}{3} }} \\ \\ \\ or , \boxed{ \bold{ \: x = 8. \bar{6}}}$

Hence,

$Value \: \: \: of \: \: x \: \: is \: \frac{26}{3} \: \: \: or \: \: \: 8. \bar{6}$