Question

0.4(2x+0.3)=1/3(6x-7.2)

Answer 1

x = 2.1

Explanation:

Solve for x:

0.4 (2 x + 0.3) = (6 x - 7.2)/3

Multiply both sides by 3:

3×0.4 (2 x + 0.3) = (3 (6 x - 7.2))/3

(3 (6 x - 7.2))/3 = 3/3×(6 x - 7.2) = 6 x - 7.2:

3×0.4 (2 x + 0.3) = 6 x - 7.2

3×0.4 = 1.2:

1.2 (2 x + 0.3) = 6 x - 7.2

Expand out terms of the left hand side:

2.4 x + 0.36 = 6 x - 7.2

Subtract 6 x from both sides:

(2.4 x - 6 x) + 0.36 = (6 x - 6 x) - 7.2

2.4 x - 6 x = -3.6 x:

-3.6 x + 0.36 = (6 x - 6 x) - 7.2

6 x - 6 x = 0:

0.36 - 3.6 x = -7.2

Subtract 0.36000000000000004` from both sides:

(0.36 - 0.36) - 3.6 x = -0.36 - 7.2

0.36 - 0.36 = 0:

-3.6 x = -0.36 - 7.2

-0.36 - 7.2 = -7.56:

-3.6 x = -7.56

Divide both sides of -3.6 x = -7.56 by -3.6:

(-3.6 x)/(-3.6) = (-7.56)/(-3.6)

(-3.6)/(-3.6) = 1:

x = (-7.56)/(-3.6)

(-7.56)/(-3.6) = 2.1:

Answer: x = 2.1

Answer 2

Answer: The solution is x = 2.1

Explanation:

The equation is:

0.4(2x+0.3)=1/3(6x-7.2)

We need to isolate x and find the value of it:

First, we multiply by 3 in both sides:

3*(0.4(2x + 0.3)) = (6x -7.2)

Now, we distribute the first multiplication:

1.2*2*x + 1.2*0.3 = 6x - 7.2

now, we send al the therms with x to the same side, and the others to the other side:

2.4*x - 6*x = -7.2 - 1.2*0.3

-(3.6)*x = -7.56

Now, we divide both sides by -3.6

x = -7.56/-3.6 = 2.1