<span><span>2x+2+<span>(−3x+6)</span>=x+6</span><span>2x+2+<span>(-3x+6)</span>=x+6</span></span>Simplify by adding terms. <span><span>−x+8=x+6</span><span>-x+8=x+6</span></span>Move all terms containing <span>xx</span> to the left side of the equation. Since <span>xx</span> contains the variable to solve for, move it to the left side of the equation by subtracting <span>xx</span> from both sides.<span><span>−x+8−x=6</span><span>-x+8-x=6</span></span>Subtract <span>xx</span> from <span><span>−x</span><span>-x</span></span> to get <span><span>−2x</span><span>-2x</span></span>.<span><span>−2x+8=6</span><span>-2x+8=6</span></span>Move all terms not containing <span>xx</span> to the right side of the equation. Since <span>88</span> does not contain the variable to solve for, move it to the right side of the equation by subtracting <span>88</span> from both sides.<span><span>−2x=−8+6</span><span>-2x=-8+6</span></span>Add <span><span>−8</span><span>-8</span></span> and <span>66</span> to get <span><span>−2</span><span>-2</span></span>.<span><span>−2x=−2</span><span>-2x=-2</span></span>Divide each term by <span><span>−2</span><span>-2</span></span> and simplify. Divide each term in <span><span>−2x=−2</span><span>-2x=-2</span></span> by <span><span>−2</span><span>-2</span></span>.<span><span>−<span><span>2x</span><span>−2</span></span>=−<span>2<span>−2</span></span></span><span>-<span><span>2x</span><span>-2</span></span>=-<span>2<span>-2</span></span></span></span>Simplify the left side of the equation by cancelling the common factors. <span><span>x=−<span>2<span>−2</span></span></span><span>x=-<span>2<span>-2</span></span></span></span>Divide <span>22</span> by <span><span>−2</span><span>-2</span></span> to get <span><span>−1</span><span>-1</span></span>.<span>x=<span>1</span></span>
This is because when having both the median and the mean the same, this means their is a perfectly symmetrical distribution of data. Making both the mean and median the same.
