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(5)
(3x)/(2)+(x-6)/(4)=2

$\frac{3x}{2}+\frac{x-6}{4}=2$

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Add, subtract, multiply, and divide polynomials

Full solution

Q.

\frac{3x}{2}+\frac{x-6}{4}=2

Combine terms with x: Combine the terms with x on the left side of the equation. $\newline$ $(\frac{3x}{2}) + (\frac{x-6}{4}) = 2$ $\newline$ To combine, find a common denominator, which is $4$ : $\newline$ $(\frac{6x}{4}) + (\frac{x-6}{4}) = 2$ $\newline$ $(\frac{6x + x - 6}{4}) = 2$
Simplify and solve for $x$ : Simplify the expression and solve for $x$ . $\frac{7x - 6}{4} = 2$ Multiply both sides by $4$ to clear the denominator: $7x - 6 = 8$
Isolate x: Isolate x. $\newline$ $7x - 6 = 8$ $\newline$ Add $6$ to both sides: $\newline$ $7x = 14$
Divide to solve for x: Divide both sides by $7$ to solve for $x$ . $\newline$ $7x = 14$ $\newline$ $x = \frac{14}{7}$ $\newline$ $x = 2$

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