Question

0.3(6-x)=0.4(8-x)solve this

Answer 1

Answer:

$\Large\boxed{X=14}$

The answer should have a positive sign.

Step-by-step explanation:

GIVEN:

0.3(6-x)=0.4(8-x)

Isolate by x from one side of the equation.

SOLUTIONS:

First, you have to multiply by 10 from both sides.

$\displaystyle 0.3(6-x)*10=0.4(8-x)*10$

Solve. (Refine.)

$3(6-x)=4(8-x)$

Expand by using with distributive property.

$\Large\boxed{\textnormal{DISTRIBUTIVE PROPERTY}}$

$\displaystyle A(B+C)=AB+AC$

3(6-x)

A=3

B=6

C=x

$\displaystyle 3*6-3x$

Multiply.

$\displaystyle 6*3=18$

$\displaystyle 18-3x$

4(8-x)

A=4

B=8

C=x

$\displaystyle 4*8-4x$

Solve.

Multiply.

$\displaystyle 8*4=32$

$\displaystyle 32-4x$

Then, you rewrite the whole problem down.

$\displaystyle 18-3x=32-4x$

Subtract by 18 from both sides.

$\displaystyle 18-3x-18=32-4x-18$

Solve.

$\displaystyle -3x=-4x+14$

Add by 4x from both sides.

$\displaystyle -3x+4x=-4x+14+4x$

Solve. (Simplify/ to find the answer.)

$\displaystyle \boxed{X=14}$

$\Large\boxed{X=14}$

Hence, the correct answer is x=14.