Question

solve by using algebra.

please give me a moment to type the equation

Answer 1

Take your time

Answer 2

\[\frac{ 1 }{ 2 }\left( x-3 \right)=\frac{ 5 }{ 12 }+\frac{ 2 }{ 3 }\left( 2x-5 \right)\]

Answer 3

whats the LCD?

Answer 4

what denominator do all 3 fractions have in common

Answer 5

none unless you count 1

Answer 6

so nothing multiplied by 2 or 3 can get to 12?

Answer 7

oh multiply 2 by 6 and 3 by 4

Answer 8

ok so 12 will be the LCD multiply all fractions by 12 to cancel out the fraction 12(x-3)=5+24(2x-5)

Answer 9

distribute 12x-36=5+48x-120
combine like terms
12x-36=48x-115
subtract 12 into 48
-36=36x-115
add 115 into -36
79=36x divide 36 into 79