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1. Solve and identify the solution. 2(x + 5) = 2x + 5

Respuesta :

Answer by JKismyhusbandbae: [tex]\mathrm{Expand\:}2\left(x+5\right):\quad 2x+10\\2x+10=2x+5\\\mathrm{Subtract\:}10\mathrm{\:from\:both\:sides}\\2x+10-10=2x+5-10\\Simplify\\2x=2x-5\\\mathrm{Subtract\:}2x\mathrm{\:from\:both\:sides}\\2x-2x=2x-5-2x\\Simplify\\0=-5\\\mathrm{The\:sides\:are\:not\:equal}\\No\:Solution[/tex]

Simplify:

2(x + 5) = 2x + 5

Reorder the terms:

2(5 + x) = 2x + 5

(5 * 2 + x * 2) = 2x + 5

(10 + 2x) = 2x + 5

Reorder the terms again:

10 + 2x = 5 + 2x

Add -2x to each side of the equation.

10 + 2x + -2x = 5 + 2x + -2x

Combine like terms: 2x + -2x = 0

10 + 0 = 5 + 2x + -2x

10 = 5 + 2x + -2x

Combine like terms:

2x + -2x = 0

10 = 5 + 0

10 = 5

Answer:  10 = 5