346.sagews

2*x+3*(x-2)+7==5*x-(3*x+2)

{2 x} + {3 \left( x - 2 \right)} + 7 = {2 x} - 2

eqn=2*x+3*(x-2)+7==5*x-(3*x+2)
eqn.expand()

{5 x} + 1 = {2 x} - 2

eqn.subtract_from_both_sides(2*x)

{3 \left( x - 2 \right)} + 7 = -2

eqn2=3*(x-2)+7==-2
eqn2.expand()

{3 x} + 1 = -2

eqn3=3*x+1==-2
eqn3.subtract_from_both_sides(1)

{3 x} = -3

eqn4=3*x==-3
eqn4.divide_both_sides(3)

x = -1

solve(2*x+3*(x-2)+7==5*x-(3*x+2), x)

\left[x = -1\right]

#Verifying the step-by-step solution of the equation