Question

Find the value of x in the equation 5+2(w-1) = 2w + 2(w+4).

Answer 1

The value of w is $\frac{-5}{2}$.

• An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C.
• Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.

Here, according to the given information, the equation is given as,

$5+2(w-1)=2w+2(w+4)$.

Or, $5+2w-2=2w+2w+8$

Or, $3-8 = 4w-2w$

Or, $2w=-5$

Or, $w=\frac{-5}{2}$

Hence, the value of w is $\frac{-5}{2}$.

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