Solve the equation below for x in terms of a. 4(ax+3)-3ax=25+3a

Expand Equation: Expand the left side of the equation. 4(ax+3)-3ax = 4ax + 12 - 3axCombine Like Terms: Combine like terms on the left side. 4ax + 12 - 3ax = (4ax - 3ax) + 12 = ax + 12Rewrite Equation: Rewrite the equation with the combined terms. ax + 12 = 25 + 3aSubtract 3a: Subtract 3a from both sides to isolate terms with x on one side. ax + 12 - 3a = 25 + 3a - 3aSimplify Equation: Simplify both sides of the equation. ax + 12 - 3a = 25Subtract 12: Subtract 12 from both sides to solve for ax. ax = 25 - 12 + 3aCombine Constants: Combine the constants on the right side. ax = 13 + 3aIsolate x: Isolate x by dividing both sides by a. x = (13 + 3a) / a

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Solve the equation below for $x$ in terms of $a$ . $\newline$ $4(a x + 3) - 3 a x = 25 + 3 a$

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Algebra 2

Write a quadratic function from its x-intercepts and another point

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Q. Solve the equation below for

x

in terms of

a

\newline

4(a x + 3) - 3 a x = 25 + 3 a

Expand Equation: Expand the left side of the equation. $\newline$ $4(ax+3)-3ax = 4ax + 12 - 3ax$
Combine Like Terms: Combine like terms on the left side. $\newline$ $4ax + 12 - 3ax = (4ax - 3ax) + 12 = ax + 12$
Rewrite Equation: Rewrite the equation with the combined terms. $ax + 12 = 25 + 3a$
Subtract $3a$ : Subtract $3a$ from both sides to isolate terms with $x$ on one side. $\newline$ $ax + 12 - 3a = 25 + 3a - 3a$
Simplify Equation: Simplify both sides of the equation. $ax + 12 - 3a = 25$
Subtract $12$ : Subtract $12$ from both sides to solve for $ax$ . $\newline$ $ax = 25 - 12 + 3a$
Combine Constants: Combine the constants on the right side. $ax = 13 + 3a$
Isolate $x$ : Isolate $x$ by dividing both sides by $a$ . $x = \frac{13 + 3a}{a}$