Multiply by 5: Multiply both sides of the equation by 5 to eliminate the fraction. (4 - 3x)/5 * 5 = (x - 6) * 5Simplify after multiplication: Simplify both sides of the equation after multiplication. 4 - 3x = 5x - 30Add 3x: Add 3x to both sides of the equation to get all x terms on one side. 4 - 3x + 3x = 5x - 30 + 3xCombine like terms: Simplify the equation by combining like terms. 4 = 8x - 30Add 30: Add 30 to both sides of the equation to isolate the term with x. 4 + 30 = 8x - 30 + 30Combine like terms: Simplify the equation by combining like terms. 34 = 8xDivide by 8: Divide both sides of the equation by 8 to solve for x. 34/8 = 8x/8Find x: Simplify the equation to find the value of x. x = 34/8 x = 4.25

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f) $\frac{4-3 x}{5}=x-6$

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Algebra 2

Add, subtract, multiply, and divide polynomials

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Q. f)

\frac{4-3 x}{5}=x-6

Multiply by $5$ : Multiply both sides of the equation by $5$ to eliminate the fraction. $\newline$ $(4 - 3x)/5 \times 5 = (x - 6) \times 5$
Simplify after multiplication: Simplify both sides of the equation after multiplication. $4 - 3x = 5x - 30$
Add $3x$ : Add $3x$ to both sides of the equation to get all $x$ terms on one side. $\newline$ $4 - 3x + 3x = 5x - 30 + 3x$
Combine like terms: Simplify the equation by combining like terms. $4 = 8x - 30$
Add $30$ : Add $30$ to both sides of the equation to isolate the term with $x$ . $\newline$ $4 + 30 = 8x - 30 + 30$
Combine like terms: Simplify the equation by combining like terms. $34 = 8x$
Divide by $8$ : Divide both sides of the equation by $8$ to solve for $x$ . $\frac{34}{8} = \frac{8x}{8}$
Find $x$ : Simplify the equation to find the value of $x$ .
$x = \frac{34}{8}$
$x = 4.25$