Simplify Equation: Step Title: Simplify Both Sides of the EquationConcise Step Description: Combine like terms on both sides of the equation to simplify it.Step Calculation: On the left side, we have 15x+21. On the right side, we have 7+10x−26. Simplify the right side by adding 7 and −26 to get −19. So the equation becomes 15x+21=10x−19.Step Output: Simplified equation: 15x+21=10x−19
Move Variable Terms: Step Title: Move Variable Terms to One SideConcise Step Description: Subtract 10x from both sides to move all the x terms to one side of the equation.Step Calculation: Subtract 10x from both sides to get 15x−10x+21=−19. This simplifies to 5x+21=−19.Step Output: Equation with variable terms on one side: 5x+21=−19
Isolate Variable: Step Title: Isolate the VariableConcise Step Description: Subtract 21 from both sides to isolate the variable term.Step Calculation: Subtract 21 from both sides to get 5x+21−21=−19−21. This simplifies to 5x=−40.Step Output: Isolated variable term: 5x=−40
Solve for x: Step Title: Solve for the VariableConcise Step Description: Divide both sides by the coefficient of the variable to solve for x.Step Calculation: Divide both sides by 5 to get x=−40/5. This simplifies to x=−8.Step Output: Solution for x: x=−8