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Solve for x:

3 x = 16 - 5 x

Add 5 x to both sides:

3 x + 5 x = (5 x - 5 x) + 16

5 x - 5 x = 0:

3 x + 5 x = 16

3 x + 5 x = 8 x:

8 x = 16

Divide both sides of 8 x = 16 by 8:

(8 x)/8 = 16/8

8/8 = 1:

x = 16/8

The gcd of 16 and 8 is 8, so 16/8 = (8×2)/(8×1) = 8/8×2 = 2:

Answer:  x = 2

r3t40
Hi,

Work:

Equation;

[tex]3x = 16 - 5x[/tex]

Move variable -5x to the left side and change its sign.

[tex]3x + 5x = 16[/tex]

Collect like terms.

[tex]8x = 16[/tex]

Divide both sides by 8.

[tex]x = 2 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: result[/tex]

Hope this helps.
r3t40
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