Answer: x = 4
Step-by-step explanation: To solve this equation, we can first combine our like terms on the left side of the equation which are the x's.
10x - 7x = 3x so we now have the equation 3x = 12.
Now to solve for <em>x</em>, we want to get <em>x</em> by itself on the left side of the equation. Since <em>x</em> is being multiplied by 3, to get <em>x</em> by itself, we need to divide by 3 on the left side of the equation. Since we divided by 3 on the left side, we must also divide by 3 on the right side.
On the left side, notice that the 4's cancel out so we're simply left with <em>x</em>. On the right side we have 12 divided by 3 which is 4 so x = 4.
Finally, remember to check your answer by substituting a 4 back into the original equation.
So we have 10(4) - 7(4) = 12 or 40 - 28 = 12 or 12 = 12.
Since this a true statement, we know our answer is correct.
Remember to show all your work when solving equations.
