Question

Solve for x.

1. -2 + 4/5x = 6
2. 2.5 (x - 3) = -5
3. 5/6 (x + 4) = 15

Answer 1

Answer:

1. x=10

2. x =4/5

3. x= 14

Step-by-step explanation:

1. -2 + 4/5x = 6

4/5x=8

x=8*5/4

x=10

2. 2.5 (x - 3) = -5

25/10 x - 75/10 =-5

25/10 x =-50+75/10

25/10 x = 2

x= 4/5

3. 5/6 (x + 4) = 15

5/6 x+ 20/6=15

5/6x =90-20/6

5/6x= 70/6

x= 70/6*6/5

x=14

Answer 2

Question :

Solve for x :

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

(2) 2.5(x-3)=-5

(3)5/6(x+4)=15

To find :

the value of X in this equation =?

Solution :

$\large \green{ \bold{ \underline{step \: by \: step \: explaination : }}}$

$\\ \bf \: (1) \: - 2 + \frac{4}{5} x = 6$

$\\ \implies \tt \: \: -2 + \frac{4}{5}x = 6$

$\\ \implies \tt \: - 10 + 4x = 30$

$\\ \implies \tt \: - 10 + 4x - 30 = 0$

$\\ \implies \tt \: - 40 + 4x = 0$

$\\ \implies \tt \: 4x = 40 \: \: \: \: ie \: \: x = \frac{40}{4}$

$\\ \implies \tt \: x = \cancel \frac{40}{4} = 10 \: \:$

$\: \: \: \implies \boxed{ \tt { \underline{x = 10}}}$

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$\\ \bf \: (2) \: 2.5(x - 3) = - 5$

$\\ \implies \tt \: 2.5(x - 3) = - 5$

$\\ \implies \tt \: 2.5x - 7.5 = - 5$

$\\ \implies \tt \: 2.5x - 7.5 + 5 = 0$

$\\ \implies \tt \: 2.5x - 7.5 + 5.0 = 0$

$\\ \implies \tt \: 2.5x = 2.5$

$\\ \implies \tt \: x = \frac{2.5}{2.5} = 1$

$\: \: \: \implies \boxed{ \tt{ \underline{x = 1}}}$

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$\\ \bf \: (3) \frac{5}{6} (x + 4) = 15$

$\\ \implies \tt \: \frac{5}{6} (x + 4) = 15$

$\\ \implies \tt \: \frac{5}{6} x + \frac{5 \times 2}{3} = 15$

$\\ \implies \tt \: \frac{5}{6} x + \frac{10}{3} = 15$

$\\ \implies \tt \: \frac{5}{6}x + \frac{10 \times 2}{3 \times 2} = 15$

$\\ \implies \tt \: \frac{5}{6} x + \frac{20}{6} = 15$

$\\ \implies \tt \: \frac{5x + 20}{6} = 15$

$\\ \implies \tt \: 5x + 20 = 15 \times 6$

$\\ \implies \tt \: 5x + 20 = 90$

$\\ \implies \tt \: 5x = 90 - 20$

$\\ \implies \tt \: 5x = 70 \: \: ie \: x = \frac{70}{5}$

$\\ \implies \tt \: x = \frac{70}{5} = 14$

$\: \: \: \implies \boxed{ \tt{ \underline{x = 14}}}$

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