Question

0.5(6h-4)=-5h+1 solve the equation

Answer 1

Explanation:

Use distribution and distribute 0.5:

0.5(6h-4)=--5h+1

3h-2=-5h+1

Add 2 and 5h to both sides:

3h=-5h+3

8h=3

Divide both sides by 8

`h=(3)/(8)`

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Answer 2

`\sf \: h = (3)/(8) \\`

Explanation:

`\sf0.5(6h - 4) = - 5h + 1`

First, solve the brackets.

`\sf3h - 2 = - 5h + 1`

To remove -2 add 2 to both sides.

`\sf3h - 2 + 2 = - 5h + 1 + 2 \\ \sf 3h = - 5h + 3`

Take -5h to the left side.

`\sf3h + 5h = 3 \\ \\ \sf combine \: like \: terms\: \\ \\ \sf8h = 3 \\ \\ \sf divide \: both \: sides \: by \: 8\\ \\ \sf (8h)/(8) = (3)/(8) \\ \\ \sf \: h = (3)/(8)`