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Solve:
[tex]\[
\frac{5 - 2x}{4} = 2x
\][/tex]

Sagot :

GinnyAnsweridn
To solve the equation

[tex]\[ \frac{5-2x}{4} = 2x, \][/tex]

follow these steps:

1. Eliminate the fraction: Multiply both sides of the equation by 4 to get rid of the denominator.

[tex]\[4 \cdot \frac{5-2x}{4} = 4 \cdot 2x\][/tex]

This simplifies to:

[tex]\[5 - 2x = 8x\][/tex]

2. Isolate the variable term: To isolate the term involving [tex]\(x\)[/tex], add [tex]\(2x\)[/tex] to both sides of the equation.

[tex]\[5 - 2x + 2x = 8x + 2x\][/tex]

Simplifying the equation gives:

[tex]\[5 = 10x\][/tex]

3. Solve for [tex]\(x\)[/tex]: Now, isolate [tex]\(x\)[/tex] by dividing both sides of the equation by 10.

[tex]\[x = \frac{5}{10}\][/tex]

Simplifying the fraction gives:

[tex]\[x = \frac{1}{2}\][/tex]

So, the solution to the equation [tex]\(\frac{5-2x}{4} = 2x\)[/tex] is

[tex]\[ x = \frac{1}{2}. \][/tex]

This means that [tex]\( x = \frac{1}{2} \)[/tex] satisfies the given equation.
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