Question

1. $9x - 4(x - 3) = 15x + 7$ 12

Explanation:

Step1: Expand the expression

$9x-4(x - 3)=9x-4x + 12$
So the original equation becomes $9x-4x + 12=15x + 7$.

Step2: Combine like - terms on left side

$(9x-4x)+12=15x + 7$, which simplifies to $5x+12=15x + 7$.

Step3: Move the terms with $x$ to one side

Subtract $5x$ from both sides: $5x+12-5x=15x + 7-5x$, getting $12 = 10x+7$.

Step4: Isolate the term with $x$

Subtract 7 from both sides: $12-7=10x+7 - 7$, resulting in $5 = 10x$.

Step5: Solve for $x$

Divide both sides by 10: $x=\frac{5}{10}=\frac{1}{2}$.

Answer:

$x=\frac{1}{2}$