Question

−30=5(x+1) solve for x pls help

Answer 1

`\boxed{x = - 7}`

Explanation:

`\mathrm{ - 30 = 5(x + 1)}`

Distribute 5 through the parentheses

`\mathrm{ - 30 = 5x + 5}`

Move constant to L.H.S and change its sign

`\mathrm{ - 30 - 5 = 5x}`

Calculate

`\mathrm{ - 35 = 5x}`

Swipe the sides of the equation

`\mathrm{5x = - 35}`

Divide both sides of the equation by 5

`\mathrm{ (5x)/(5) = ( - 35)/(5) }`

Calculate

`\mathrm{x = - 7}`

Hope I helped!

Best regards!!

Answer 2

`\boxed{\sf x = -7}`

Explanation:

`\sf Solve \: for \: x: \\ \sf \implies - 30 = 5(x + 1) \\ \\ \sf - 30 =5(x+ 1) \: is \: equivalent \: to \: 5 (x + 1) = - 30: \\ \sf \implies 5(x + 1) = - 30 \\ \\ \sf Divide \: both \: sides \: of \: 5(x+ 1) = - 30 \: by \: 5: \\ \sf \implies (5(x + 1))/(5) = - (30)/(5) \\ \\ \sf (5)/(5) = 1 : \\ \sf \implies x + 1 = - (30)/(5) \\ \\ \sf - (30)/(5) = - \frac{6 * \cancel{5}}{ \cancel{5}} = - 6 : \\ \sf \implies x + 1 = - 6 \\ \\ \sf Subtract \: 1 \: from \: both \: sides: \\ \sf \implies x + (1 - 1) = - 6 - 1 \\ \\ \sf 1 - 1 = 0 : \\ \sf \implies x = - 6 - 1 \\ \\ \sf - 6 - 1 = - 7 : \\ \sf \implies x = - 7`