Question

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

Answer 1

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

$\quad\quad\quad\quad\quad\quad$

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

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

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

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

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

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

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

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

$\tt{\frac{9x}{9} = \frac{36}{9}}$

$\tt{x = 4}$

Answer 2

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

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

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.

                                      $\boldsymbol{\sf{x=\dfrac{-36}{-9} \ \ \longmapsto \ \ [Split] }}$

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