Order the the steps to solve the equation for x. Make sure to put the steps in order. Not all steps will be used.
-6(x + 3) +x = -6x + 30.
1. Distribute the -6 to the terms inside the parentheses: -6 * x = -6x and -6 * 3 = -18
-6x - 18 + x = -6x + 30
2. Combine like terms: -6x + x = -5x
-5x - 18 = -6x + 30
3. Add 6x to both sides: -5x + 6x = 1x
x - 18 = 30
4. Add 18 to both sides: x - 18 + 18 = 30 + 18
x = 48
1. Distribute -6 to both terms inside the parentheses: -6 * x + -6 * 3 + x = -6x + 30.
2. Simplify the terms inside the parentheses: -6x - 18 + x = -6x + 30.
3. Combine like terms on both sides of the equation: -6x + x - 6x = 30 + 18.
4. Simplify the expression on the left side: -11x = 48.
5. Divide both sides of the equation by -11 to isolate x: x = 48 / -11.
6. Simplify the division: x = -4.3636... (recurring decimal).
To solve the equation for x, you can follow these steps:
Step 1: Simplify both sides of the equation by distributing the -6 to the terms inside the parentheses.
-6(x + 3) + x = -6x + 30
-6x - 18 + x = -6x + 30
Step 2: Combine like terms on both sides of the equation.
-5x - 18 = -6x + 30
Step 3: Move all the terms containing x to one side of the equation. In this case, we will move the -6x to the left side by adding 6x to both sides.
-5x - 18 + 6x = -6x + 6x + 30
x - 18 = 30
Step 4: Simplify both sides by combining like terms.
x - 18 = 30
x = 30 + 18
Step 5: Solve the equation for x.
x = 48
So, the solution to the equation -6(x + 3) + x = -6x + 30 is x = 48.