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show me the steps to complete the steps to solve for x 4/5x - 1//4x = 11

Sagot :

Absor201idn

Answer:

The value of x = 20

Step-by-step explanation:

Given the expression

[tex]\frac{4}{5}x\:-\:\frac{1}{4}x\:=\:11[/tex]

The L.C.M of 5,4: 20

Multiply by LCM = 20

[tex]\frac{4}{5}x\cdot \:20-\frac{1}{4}x\cdot \:20=11\cdot \:20[/tex]

Simplify

[tex]16x-5x=220[/tex]

[tex]11x=220[/tex]

Divide both sides by 11

[tex]\frac{11x}{11}=\frac{220}{11}[/tex]

[tex]x=20[/tex]

Therefore, the value of x = 20

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