Solve the equation: 18 − 6x = 19x − 2

Question

ScanSolve AI Tutor · Accepted Answer

The image provided is quite blurry, but I will do my best to decipher the problem. Based on the visible numbers and symbols, the equation appears to be:

18 - 6x = 19x - 2

Add $6x$ to both sides of the equation to gather the $x$ terms on one side.
$18 - 6x + 6x = 19x - 2 + 6x$ $18 = 25x - 2$
Add 2 to both sides of the equation to isolate the term with $x$ .
$18 + 2 = 25x - 2 + 2$ $20 = 25x$
Divide both sides by 25 to solve for $x$ .
$\frac{20}{25} = \frac{25x}{25}$ $x = \frac{20}{25}$
Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 5.
$x = \frac{20 \div 5}{25 \div 5}$ $x = \frac{4}{5}$
The solution for $x$ is:

Solve the equation: 18 − 6x = 19x − 2

Answer

Step-by-step solution

Add $6x$ to both sides of the equation to gather the $x$ terms on one side.

Add 2 to both sides of the equation to isolate the term with $x$ .

Divide both sides by 25 to solve for $x$ .

Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 5.

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Solve the equation: 18 − 6x = 19x − 2

Answer

Step-by-step solution

Add 6x6x6x to both sides of the equation to gather the xxx terms on one side.

Add 2 to both sides of the equation to isolate the term with xxx.

Divide both sides by 25 to solve for xxx.

Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 5.

Try one yourself

Still stuck on this one?

More Mathematics Questions

Add $6x$ to both sides of the equation to gather the $x$ terms on one side.

Add 2 to both sides of the equation to isolate the term with $x$ .

Divide both sides by 25 to solve for $x$ .