Question

¿Me ayudan con este problema por favor?

0.25(3x-8)=2(0.5x+4)

Answer 1

Simplifying

0.25(3x + -8) = 2(0.5 + 4)

Reorder the terms:

0.25(-8 + 3x) = 2(0.5 + 4)

(-8 * 0.25 + 3x * 0.25) = 2(0.5 + 4)

(-2 + 0.75x) = 2(0.5 + 4)

Combine like terms: 0.5 + 4 = 4.5

-2 + 0.75x = 2(4.5)

Multiply 2 * 4.5

-2 + 0.75x = 9

Solving

-2 + 0.75x = 9

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2' to each side of the equation.

-2 + 2 + 0.75x = 9 + 2

Combine like terms: -2 + 2 = 0

0 + 0.75x = 9 + 2

0.75x = 9 + 2

Combine like terms: 9 + 2 = 11

0.75x = 11

Divide each side by '0.75'.

x = 14.66666667

Simplifying

x = 14.66666667