Question

2(x+6)-10=12+4(x-1) explain the process for solving equation Please!

Answer 1

first, you need to use the distributive property:
\[a(b+c) =ab + ac\]
to simplify:
\[2x+12 - 10 = 12 + 4x-4\]

Answer 2

then you should combine the like terms to simplify again:
\[2x + 2 = 8 + 4x\]

Answer 3

now that the equation is simplified, you should work on isolating the x

Answer 4

subtract 2x from both sides to get:
\[2 = 8+2x\]
subtract 8 from both sides to get:
\[-6 = 2x\]

Answer 5

now that you have an x and a coefficient, divide by the coefficient:
\[-3 = x\]

Answer 6

you can check by plugging x back into the equation:
\[2(-3 + 6) - 10 = 2(3) - 10 = 6-10 = -4\]
\[12+4(-3 - 1) = 12 + 4(-4) = 12 - 16 = -4\]
both sides are equal, so this is the value of x