Question

2.5 ( 6 x - 4 ) = 10 + 4 ( 1.5 + 0.5 x )

Answer 1

`\bold{x=2}`

Step By Step Explanation:

Expand
`\bold{2.5\left(6x-4\right): \ 15x-10}`

Expand
`\bold{10+4\left(1.5+0.5x\right): \ 2x+16}`

`\bold{15x-10=2x+16}`

Add 10 To Both Sides

`\bold{15x-10+10=2x+16+10}`

Simplify

`\bold{15x=2x+26}`

Subtract 2x From Both Sides

`\bold{15x-2x=2x+26-2x}`

Simplify

`\bold{13x=26}`

Divide Both Sides By 13

`\bold{(13x)/(13)=(26)/(13)}`

Simplify

`\bold{x=2}`