How do you solve #-8-7x=-5x-10#? Algebra Linear Equations Equations with Variables on Both Sides 1 Answer smendyka Dec 10, 2016 #x = 1# Explanation: First, isolate the #x# terms and the constants on different sides of the equation while keeping the equation balanced: #-8 - 7x + 7x + 10 = -5x - 10 + 7x + 10# #-8 - 0 + 10 = -5x + 7x - 0# #-8 + 10 = -5x + 7x# We can now combine terms and solve for #x# while keeping the equation balanced: #2 = (-5 + 7)x# #2 = 2x# #2/2 = (2x)/x# #1 = (cancel(2)x)/cancel(2)# #x = 1# Answer link Related questions How do you check solutions to equations with variables on both sides? How do you solve #125+20w-20w=43+37w-20w#? How do you solve for x in #3(x-1) = 2 (x+3)#? Is there a way to solve for x without using distribution in #4(x-1) = 2 (x+3)#? How do you solve for t in #2/7(t+2/3)=1/5(t-2/3)#? How do you solve #5n + 34 = −2(1 − 7n)#? How do you simplify first and then solve #−(1 + 7x) − 6(−7 − x) = 36#? Why is the solution to this equation #-15y + 7y + 1 = 3 - 8y#, "no solution"? How do you solve for variable w in the equation #v=lwh#? How do you solve #y-y_1=m(x-x_1)# for m? See all questions in Equations with Variables on Both Sides Impact of this question 1603 views around the world You can reuse this answer Creative Commons License