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Solve for xx.\newline15x+21=7+10x2615x+21=7+10x-26

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Q. Solve for xx.\newline15x+21=7+10x2615x+21=7+10x-26
  1. Simplify Equation: Step Title: Simplify Both Sides of the Equation\newlineConcise Step Description: Combine like terms on both sides of the equation to simplify it.\newlineStep Calculation: On the left side, we have 15x+2115x + 21. On the right side, we have 7+10x267 + 10x - 26. Simplify the right side by adding 77 and 26-26 to get 19-19. So the equation becomes 15x+21=10x1915x + 21 = 10x - 19.\newlineStep Output: Simplified equation: 15x+21=10x1915x + 21 = 10x - 19
  2. Move Variable Terms: Step Title: Move Variable Terms to One Side\newlineConcise Step Description: Subtract 10x10x from both sides to move all the xx terms to one side of the equation.\newlineStep Calculation: Subtract 10x10x from both sides to get 15x10x+21=1915x - 10x + 21 = -19. This simplifies to 5x+21=195x + 21 = -19.\newlineStep Output: Equation with variable terms on one side: 5x+21=195x + 21 = -19
  3. Isolate Variable: Step Title: Isolate the Variable\newlineConcise Step Description: Subtract 2121 from both sides to isolate the variable term.\newlineStep Calculation: Subtract 2121 from both sides to get 5x+2121=19215x + 21 - 21 = -19 - 21. This simplifies to 5x=405x = -40.\newlineStep Output: Isolated variable term: 5x=405x = -40
  4. Solve for x: Step Title: Solve for the Variable\newlineConcise Step Description: Divide both sides by the coefficient of the variable to solve for xx.\newlineStep Calculation: Divide both sides by 55 to get x=40/5x = -40 / 5. This simplifies to x=8x = -8.\newlineStep Output: Solution for xx: x=8x = -8