Question

1/2(x-4)=1/3(x+2) Helppp plsss will give brainilist

Answer 1

Answer:

x= 16

Step-by-step explanation:

combine multiplied terms into  a single fraction

$\frac{1}{2} (x-4)=\frac{1}{3} (x+2)$

$\frac{1(x-4)}{2} =\frac{1}{3} (x+2)$

Multiply by 1

$\frac{1(x-4)}{2} =\frac{1}{3} (x+2)$

$\frac{x-4}{2} =\frac{1}{3} (x+2)$

Combine multiplied term into a single fraction

$\frac{x-4}{2} =\frac{1(x+2)}{3}$

Multiply by 1

$\frac{x-4}{2} =\frac{x+2}{3}$

Multiply all terms by the same value to eliminate fraction denominators

$6*\frac{x-4}{2} 6(\frac{x+2}{3} )$

cancel multiplied terms that are in the denominator

$3(x-4)=2(x-2)$

Distribute

$3x-12=2(x+2)$

Distribute

$3x-12=2x+4$

Add 12 to both sides of the equation

$3x-12+12=2x+4+12$

Simplify

$3x=2x+16$

Subtract 2x from both sides of the equation

$3x=2x=2x+16-2x$

Simplify

$x=16$