Math, asked by kavinvenkataraman, 10 months ago

3÷4(x-1)=x-3 solve and get the variable answer​

Answers

Answered by charliejaguars2002
23

Answer:

\Rightarrow \Huge\boxed{\mathsf{X=9}}

Step-by-step explanation:

\Large\boxed{\textnormal{SUBJECT: MATH}}

Isolate x on one side of the equation.

DISTRIBUTIVE PROPERTY:

A(B+C)=AB+AC

A(B-C)=AB-AC

3/4(x-1)=x-3 (First, expand by using distributive property.)

3/4*x=3/4x

3/4*1=3/4

3/4x-3/4

3/4x-3/4+3/4=x-3+3/4 (Next, add 3/4 from both sides.)

x-3+3/4 (Solve.)

x-3+3/4=x-9/4

3/4x=x-9/4

3/4x-x=x-9/4-x (Subtract by x from both sides.)

-9/4-x (Solve.)

-9/4-x=-9/4

-1/4x=-9/4

(-1/4x)(-4)=(-9/4)(-4) (Then, multiply -4 from both sides.)

(-9/4)(-4) (Solve.)

(-9/4)(-4)=9

x=9

\bigstar \Rightarrow \Large\boxed{\mathsf{X=9}}\bigstar

As a result, the final answer is x=9.

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