Answer :

The value of x is -3

What are algebraic expression?

Algebraic expression can be defines as an expression made from integer constants, variables, and the algebraic operations such as addition, subtraction, division and others.

Given;

[tex]\frac{-x}{4 - 2} = x + 3[/tex]

cross multiply

-x = 2 ( x + 3)

Expand the bracket

- x = 2x + 6

collect like terms

-x - 2x = 6

Add like terms

- 3x = 6

make 'x' the subject

x = 6/ -3

x = -2

Thus, the value of x is -3

Learn more about algebraic expressions here:

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