Question

Solve each given equation & show your work. Tell whether it has one solution (something like x=18), an infinite number of solutions (such as when any value can be used for x, and the equation is true), or no solution (no x value will work).

25 - 4x = 15 - 3x + 10

Answer 1

Step 1: Simplify both sides of the equation.

25−4x=15−3x+10

25+−4x=15+−3x+10

−4x+25=(−3x)+(15+10)(Combine Like Terms)

−4x+25=−3x+25

−4x+25=−3x+25

Step 2: Add 3x to both sides.

−4x+25+3x=−3x+25+3x

−x+25=25

Step 3: Subtract 25 from both sides.

−x+25−25=25−25

−x=0

Step 4: Divide both sides by -1.

−x /−1  =  0 /−1

answer is 0.

X = 0.