Fill in the blanks to explain what needs to be done in the current step to get to the next step.
3x+4−2x+9=17−x
Step 1: 3x+4−2x+9=17−x
Step 2: x+13= 17−x
Step 3: x+x+13=17−x+x
Step 4: 2x +13 = 17
Step 5: 2x+13−13=17−13
Step 6: 2x=4
Step 7: x = 2
Step 1: Simplify both sides of the equation by combining like terms.
Step 2: Add 'x' to both sides of the equation to isolate the variable on one side.
Step 3: Simplify further by combining like terms on both sides of the equation.
Step 4: Subtract 13 from both sides of the equation to isolate the variable 'x' on one side.
Step 5: Simplify further by combining like terms on both sides of the equation.
Step 6: Divide both sides of the equation by 2 to solve for 'x'.
Step 7: Simplify further to find the final solution for 'x'.
Step 1: Simplify both sides of the equation by combining like terms: 3x + 4 - 2x + 9 = 17 - x.
Step 2: Combine like terms on each side of the equation: x + 13 = 17 - x.
Step 3: Add x to both sides of the equation: x + x + 13 = 17 - x + x.
Step 4: Simplify the equation further by combining like terms: 2x + 13 = 17.
Step 5: Subtract 13 from both sides of the equation: 2x + 13 - 13 = 17 - 13.
Step 6: Simplify further: 2x = 4.
Step 7: Divide both sides of the equation by 2: x = 2.
Step 1: Rewrite the equation as 3x + 4 - 2x + 9 = 17 - x.
Step 2: Combine like terms by adding or subtracting the coefficients of x. In this case, combine the terms 3x and -2x on the left side and combine the terms -x and 17 on the right side. This gives you x + 13 = 17 - x.
Step 3: Simplify the equation further by adding or subtracting the coefficients of x. Add x to both sides of the equation to get x + x + 13 = 17 - x + x.
Step 4: Combine like terms again. On the left side, x + x simplifies to 2x. On the right side, -x + x simplifies to 0, leaving only 17. The equation becomes 2x + 13 = 17.
Step 5: In order to isolate the variable x, subtract 13 from both sides of the equation, resulting in 2x + 13 - 13 = 17 - 13.
Step 6: Simplify further by subtracting 13 from 13, which equals 0, and subtracting 13 from 17, resulting in 2x = 4.
Step 7: Finally, to solve for x, divide both sides of the equation by 2, giving you x = 2 as the solution.