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Solve for x: 2/7 (x - 2) = 4x
(9th grade algebra 1)


Solve For X 27 X 2 4x 9th Grade Algebra 1 class=

Sagot :

Answer:

[tex] x = - \frac{2}{13} [/tex]

Step-by-step explanation:

[tex] \frac{2}{7} (x - 2) = 4x[/tex]

[tex] = > \frac{2}{7} x - \frac{4}{7} = 4x[/tex]

[tex] = > \frac{2}{7} x - 4x = \frac{4}{7} [/tex]

[tex] = > \frac{2x - 28x}{7} = \frac{4}{7} [/tex]

[tex] = > \frac{ - 26}{7} x = \frac{4}{7} [/tex]

[tex] = > x = \frac{4}{7} \times \frac{7}{ - 26} [/tex]

[tex] = > x = \frac{4}{ - 26} [/tex]

[tex] = > x = \frac{ - 2}{13} (ans)[/tex]

Answer:

x = -2/13

Step-by-step explanation:

[tex]\dfrac{2}{7}(x-2) = 4x\\\\Multiply \ both \ sides \ by \ 7 \\\\\\7*\dfrac{2}{7}(x-2)=4x*7\\\\\\2(x -2)= 28x\\Divide \ both \ sides \ by \ 2\\\\\dfrac{2(x-2)}{2}=\dfrac{28x}{2}\\\\\\x - 2 = 14x\\\\\\[/tex]

Subtract 'x' from both sides

-2 = 14x - x

-2 = 13x

Divide both sides by 13

-2/13 = x

x = -2/13

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