4. the equation shown below is true for what value of x?\n2(x - 3) - 4(x - 6) = 7x\nf. -\\frac{18}{5}\ng…

4. the equation shown below is true for what value of x?\n2(x - 3) - 4(x - 6) = 7x\nf. -\\frac{18}{5}\ng. -2\nh. 2\nj. \\frac{18}{5}\nk. \\frac{11}{2}\n5. what is the solution to the equation\n5x - (x + 4) = 2?\na. -\\frac{1}{2}\nb. \\frac{1}{2}\nc. 1\nd. \\frac{3}{2}\ne. 3\n6. what value of x makes the equation\n6x - (5x + 7) = 10 true?\nf. \\frac{4}{11}\ng. \\frac{17}{11}\nh. 3\nj. 4\nk. 17

4. the equation shown below is true for what value of x?\n2(x - 3) - 4(x - 6) = 7x\nf. -\\frac{18}{5}\ng. -2\nh. 2\nj. \\frac{18}{5}\nk. \\frac{11}{2}\n5. what is the solution to the equation\n5x - (x + 4) = 2?\na. -\\frac{1}{2}\nb. \\frac{1}{2}\nc. 1\nd. \\frac{3}{2}\ne. 3\n6. what value of x makes the equation\n6x - (5x + 7) = 10 true?\nf. \\frac{4}{11}\ng. \\frac{17}{11}\nh. 3\nj. 4\nk. 17

Answer

Explanation:

Step1: Expand the equation

$$ \begin{align*} 2(x - 3)-4(x - 6)&=7x\ 2x-6-(4x - 24)&=7x\ 2x-6 - 4x+24&=7x \end{align*} $$

Step2: Combine like terms

$$ \begin{align*} (2x-4x)+(-6 + 24)&=7x\ -2x+18&=7x \end{align*} $$

Step3: Move terms with (x) to one side

Add (2x) to both sides: $$ \begin{align*} -2x+2x + 18&=7x+2x\ 18&=9x \end{align*} $$

Step4: Solve for (x)

Divide both sides by (9): $$x=\frac{18}{9}=2$$

Answer:

H. (2)