Answer:
[tex]{ \boxed{ \mathfrak{answer}}} : [/tex]
[tex]{ \rm{ - 7x - 3x + 2 = 8x - 8}} \\ \\ { \rm{ - 7x - 3x - 8x = - 8 - 2}} \\ \\{ \rm{ - x(7 + 3 + 8) = - (8 + 2) }} \\ \\ { \rm{ - 18x = - 10}} \\ \\ { \boxed{ \boxed { \rm{ \: \: x = \frac{5}{9} \: }}}} \: or \: \: { \boxed{ \boxed{ \rm{ \: \: x = 0.{ \bar{5}}}}}}[/tex]
Answer:
[tex]\boxed{\sf x=\cfrac{5}{9}}[/tex]
[tex]\boxed{\sf x=0.5555}[/tex]
Step-by-step explanation:
[tex]\sf -7x-3x+2=8x-8[/tex]
Combine like terms:
[tex]\mapsto \sf -7x-3x[/tex]
[tex]\mapsto \sf -10x+2=8x-8[/tex]
Subtract 2 from both sides:
[tex]\mapsto \sf -10x+2-2=8x-8-2[/tex]
[tex]\mapsto \sf -10x=8x-10[/tex]
Subtract 8x from both sides:
[tex]\mapsto \sf -10x-8x=8x-10-8x[/tex]
[tex]\mapsto \sf -18x=-10[/tex]
Divide both sides by -18:
[tex]\mapsto \sf \cfrac{-18x}{-18}=\cfrac{-10}{-18}[/tex]
[tex]\mapsto \sf x=\cfrac{5}{9}[/tex]
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