Question

3(x-6)+8=5(x+2)-6

Answer 1

To solve for x, you need to expand out your brackets and collect like terms.

The left-hand side is

\[3(x-6)+8 = 3x - 3(6)+8= 3x-18+8=3x-10\]The right-hand side is
\[5(x+2)-6=5x+5(2)-6=5x+10-6=5x+4\]
Equating the two:
\[3x-10=5x+4\]Subtract 3x from both sides:\[-10=2x+4\]Subtract 4 from both sides:\[-14=2x\]Divide both sides by 2:\[-7=x\]that is,
\[x=-7\]