Question 104877
Given:
{{{4p-10 = p+3p-2p}}}
Combining terms on the right-hand side:
{{{4p-10 = p+3p-2p = 4p-2p = 2p}}}
which simplifies to:
{{{4p-10 = 2p}}}
Now, subtract 2p from both side:
{{{4p-10 -2p = 2p -2p}}}
which simplifies to:
{{{2p -10 = 0}}}
Then add 10 to both sides:
{{{2p -10 +10 = 0 +10}}}
which simplifies to:
{{{2p = 10}}}
Dividing through by 2 to remove the coefficient on p:
{{{2p/2 = 10/2}}}
which simplifies to:
{{{p = 5}}}
ALWAYS check your answer.
In this case, substitute the value 5 for p in the original equation.
{{{4(5)-10 = 5+3(5)-2(5)}}}
{{{20-10=5+15-10}}}
{{{10=10}}}
Check!