Question

Solve the equation

7/4x-2=-5x+1

Answer 1

`\large{\mathcal{ANSWER}}`

Problem:

`(7)/(4)`
`x\:-\:2\:=\:-5x\:+\:1`

Solution:

`(7)/(4)`
`x\:-\:2\:=\:-5x\:+\:1`

`7x\: - \:8 \:=\: -20x\: + \:4`

`7x \:- \:8 \:+ \:20x \:= \:4`

`7x\: + \:20x \:= \:4 \:+ \:8`

`27x\: = \:4\: + \:8`

Answer:

`x\:=`
`(4)/(9)`

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Answer 2

x = 4/9

Explanation:

Solve for x

7/4 x -2 = -5x +1

Add 5x to each side

7/4 x -2+5x = -5x +1+5x

7/4 x + 5x -2 = 1

Get a common denominator for the x terms

7/4x +20/4x -2 = 1

Add 2 to each side

27/4 x -2+2 = 1+2

27/4 x = 3

Multiply each side by 4

27/4 x *4 = 3*4

27x = 12

Divide each side by 27

27x/27 = 12/27

x = 12/27

Simplify

x = 4/9