How do you solve x+3=2x-5x+3=2x−5?

2 Answers
Janae
Nov 13, 2015

x = 8

Explanation:

x+3=2x−5

You want to isolate the "x" on one side, so subtract "x" from one side and move it over to the other side with "2x."

3 = 2x - x - 5

Then move the -5 to the other side by changing the sign (-5 to +5) and adding it to the other side.

3 + 5 = 2x - x

Solve it and you should result with 8 = x.

Tony B
Nov 13, 2015

More detail given

Explanation:

Given that: x+3=2x-5x+3=2x−5

Grouping like terms with xx on the right to keep it positive and everything else on the other side.

Add color(blue)(5)5 to both sides.

(x+3) color(blue)(+5) = (2x -5) color(blue)(+5)(x+3)+5=(2x−5)+5
The brackets only function is to show what is being changed

x +(3+5) = 2x + (-5 +5)x+(3+5)=2x+(−5+5)

x+8 =2x +0x+8=2x+0

Subtract color(blue)(x)x from both sides

(x+8) -color(blue)(x) = (2x) -color(blue)(x)(x+8)−x=(2x)−x

but 2x -> 2 " of "x " so " 2x = x+x2x→2 of x so 2x=x+x

8 + (x color(blue)(-x)) = x + (x-color(blue)(x))8+(x−x)=x+(x−x)

8 +0=x +08+0=x+0
8=x8=x

Convention is that xx is on the left so reverse

x=8x=8
.

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