Question

how to find x. 4( 2x+1) = 3( x-1)+8

Answer 1

Answer:

x=1/5 or x=0.2

Step-by-step explanation:

Distributive property: a(b+c)=ab+ac

$\displaystyle 4(2x+1)=8x+4$

$\displaystyle 3(x-1)+8=3x+5$

$\displaystyle8x+4=3x+5$

Subtract by 4 from both sides of equation.

$\displaystyle8x+4-4=3x+5-4$

Solve.

$\displaystyle8x=3x+1$

Subtract by 3x from both sides of equation.

$\displaystyle8x-3x=3x+1-3x$

Solve.

$\displaystyle5x=1$

Divide by 5 from both sides of equation.

$\displaystyle \frac{5x}{5}=\frac{1}{5}$

Solve to find the answer.

$\huge \boxed{x=\frac{1}{5};x=0.2}$, which is our answer.

Answer 2

Answer: x=1/5

Hope it helps you