Question

6 - 2/3(x+5)=4x Please solve it

Answer 1

`\large\boxed{x=(4)/(7)}`

Explanation:

`6-(2)/(3)(x+5)=4x\qquad\text{multiply both sides by 3}\\\\(3)(6)-3\!\!\!\!\diagup\cdot(2)/(3\!\!\!\!\diagup)(x+5)=(3)(4x)\\\\18-2(x+5)=12x\qquad\text{use the distributive property:}\ a(b+c)=ab+ac\\\\18+(-2)(x)+(-2)(5)=12x\\\\18-2x-10=12x\qquad\text{cobmine like terms}\\\\-2x+(18-10)=12x\\\\-2x+8=12x\qquad\text{subtract 8 from both sides}\\\\-2x+8-8=12x-8\\\\-2x=12x-8\qquad\text{subtract}\ 12x\ \text{from both sides}\\\\-2x-12x=12x-12x-8\\\\-14x=-8\qquad\text{divide both sides by (-14)}\\\\(-14x)/(-14)=(-8)/(-14)\\\\x=(8:2)/(14:2)\\\\x=(4)/(7)`