Question

Solve for x if 5x + 2(x - 3) = 7x - 6
Help me plsss

Answer 1

`x=0`, or
`0=0`

Explanation:

`5x+2\left(x-3\right)=7x-6`

`Expand\:2(x-3):2x-6`

`5x+2x-6=7x-6`

`\mathrm{Add\:similar\:elements:}\:5x+2x=7x`

`7x-6=7x-6`

`\mathrm{Add\:}6\mathrm{\:to\:both\:sides}`

`7x-6+6=7x-6+6`

`\mathrm{Simplify}`

`7x=7x`

`\mathrm{Subtract\:}7x\mathrm{\:from\:both\:sides}`

`Simplify`

`0=0`

`\mathrm{Both\:sides\:are\:equal}`

`\mathrm{True\:for\:all}\:x`

Answer 2

x = 3

Explanation:

Step 1: Simplify both sides of the equation.

5x + 29 (x − 3) = 7x − 6

5x + (29) (x) + (29) (−3) = 7x + −6 (Distribute)

5x + 29x + −87 = 7x + −6

(5x + 29x) + (−87) = 7x − 6 (Combine Like Terms)

34x + −87 = 7x − 6

34x − 87 = 7x − 6

Step 2: Subtract 7x from both sides.

34x − 87 −7x = 7x −6 −7x

27x − 87 = −6

Step 3: Add 87 to both sides.

27x − 87 + 87 = −6 + 87

27x = 81

Step 4: Divide both sides by 27.

27x/27 = 81/27

x = 3

Hope it helps!!