Question

Solve the equation 7/4x-2=-5x+1

Answer 1

$\large{\mathcal{ANSWER}}$

Problem:

$\frac{7}{4}$ $x\:-\:2\:=\:-5x\:+\:1$

Solution:

$\frac{7}{4}$ $x\:-\:2\:=\:-5x\:+\:1$

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

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

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

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

Answer:

$x\:=$ $\frac{4}{9}$

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Answer 2

Answer:

x = 4/9

Step-by-step 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