Question

Select steps that could be used to solve the equation 1 + 3x = -x + 4.

A. add x, subtract 1, divide by 4
B. add x, subtract 4, divide by 4
C. subtract 3x, subtract 4, divide by 4
D. subtract 3x, subtract 4, divide by -4
E. subtract 1, add x, divide by 4

Answer 1

Answer :

A. add x, subtract 1, divide by 4

D. subtract 3x, subtract 4, divide by -4

Step-by-step-explanation : Further explanation

$\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\1+3x-1=-x+4-1\\Simplify\\3x=-x+3\\\mathrm{Add\:}x\mathrm{\:to\:both\:sides}\\3x+x=-x+3+x\\Simplify\\4x=3\\\mathrm{Divide\:both\:sides\:by\:}4\\\frac{4x}{4}=\frac{3}{4}\\x=\frac{3}{4}$

I hope it helps:)