Question

-2x + 7x +34 = -2(1-7x)

Answer 1

`\boldsymbol{\sf{-2x + 7x +34 = -2(1-7x) \ \ \longmapsto \ \ [Add \ -2x+7x]}}`

`\boldsymbol{\sf{5x+34=-2(1-7x)}}`

Use the distributive property to multiply −2 by 1−7x.

`\boldsymbol{\sf{5x+34=-2+14x}}`

Subtract 14x on both sides.

`\boldsymbol{\sf{5x+34-14x=-2}}`

Combine 5x and −14x to get −9x.

`\boldsymbol{\sf{-9x+34=-2 }}`

Subtract 34 from both sides.

`\boldsymbol{\sf{-9x=-2-34 \ \ \longmapsto \ \ \ [Subtract] }}`

`\boldsymbol{\sf{-9x=-36}}`

Divide both sides by −9.

`\boldsymbol{\sf{x=(-36)/(-9) \ \ \longmapsto \ \ [Split] }}`

`\red{\boxed{\boldsymbol{\sf{\blue{Answer \ \ \longmapsto \ \ x=4 }}}}}`

Answer 2

`\quad\quad\quad \huge \underline{ \tt{ANSWER}}`

`\quad\quad\quad\quad\quad\quad`

`\tt{- 2x + 7x + 34 = - 2(1 - 7x)}`

`\tt{5x + 34 = - 2(- 7x + 1)}`

`\tt{5x + 34 = - (- 2 * 7x + 2)}`

`\tt{5x + 34 = - (- 14x + 2)}`

`\tt{(5x + 34) + (- 34 - 14x) = (14x - 2) + (- 34 - 14x)}`

`\tt{5x + 34 - 34 - 14x = 14x - 2 - 34 - 14x}`

`\tt{5x - 14x + 34 - 34 =14x-14x-2 - 34}`

`\tt{- 9x = - 36}`

`\tt{(9x)/(9) = (36)/(9)}`

`\tt{x = 4}`