Respuesta :

ANSWER

[tex]x = \frac{5}{a - b + 3} [/tex]


EXPLANATION

The expression given to us is

[tex]ax+3x=bx+5[/tex]

To solve for x means we should isolate x on one side of the equation while the other terms are also on the other side of the equation.



To do that we need to add
[tex] - bx[/tex]
to both sides of the equation to obtain,




[tex]ax+3x + (- bx) = bx + (- bx)+5[/tex]


We simplify to obtain,

[tex]ax+3x - bx =0 +5[/tex]


This implies that,

[tex]ax+3x - bx = 5[/tex]



We now factor x out of the left hand side of the equation to obtain,

[tex]x(a - b + 3) = 5[/tex]



We now divide both sides by
[tex](a - b + 3)[/tex]
to obtain,


[tex]x = \frac{5}{a - b + 3} [/tex]

The value of x from the given question is 5/a-b+3

Subject of the formula

Given the expression ax+3x=bx+5

Collect the like terms

ax - bx +3x = 5

Factor out the common variable

x(a - b + 3) = 5

Divide both sides by a-b+3

x(a - b + 3)/a-b+3 = 5/a-b+3

On simplifying

x = 5/a-b+3

Hence the value of x from the given question is 5/a-b+3

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