Question

How do you solve 10+5(3x-4)=2x+7

Answer 1

`x=1(4)/(13)`

Explanation:

Given the equation

`10+5(3x-4)=2x+7`

Use distributive property:

`10+5\cdot 3x-5\cdot 4=2x+7\\ \\10+15x-20=2x+7`

Use commutative property to rewrite the equation:

`15x+10-20=2x+7`

`15x-10=2x+7`

Add 10 th both sides:

`15x-10+10=2x+7+10\\ \\15x=2x+17`

Subtract
`2x:`

`15x-2x=2x+17-2x\\ \\13x=17`

Divide by 13:

`x=(17)/(13)=1(4)/(13)`