Drag and drop the correct steps to solve the equation for x. Make sure to put the steps in order. Not all steps listed will be used.
12 - 3x = 8 - 4(2x - 6)
1. Distribute the 4 to both terms inside the parentheses: 4(2x - 6) = 8x - 24.
2. Combine like terms on both sides of the equation: 12 - 3x = 8x - 24.
3. Simplify the equation by combining like terms: -3x - 8x = -24 - 12.
4. Simplify the equation further: -11x = -36.
5. Divide both sides of the equation by -11 to isolate x: x = -36 / -11.
6. Simplify the expression on the right side of the equation: x = 36/11.
1. Distribute the -4 to both terms inside the parentheses: -4(2x - 6) = -8x + 24.
2. Simplify the equation: 12 - 3x = 8 - 8x + 24.
3. Combine like terms on the right side: 12 - 3x = 32 - 8x.
4. Subtract 12 from both sides: 12 - 12 - 3x = 32 - 12 - 8x.
5. Simplify: -3x = 20 - 8x.
6. Add 8x to both sides: -3x + 8x = 20 - 8x + 8x.
7. Simplify: 5x = 20.
8. Divide both sides by 5: 5x/5 = 20/5.
9. Simplify: x = 4.
To solve the equation 12 - 3x = 8 - 4(2x - 6) for x, follow these steps in order:
1. Distribute the 4 to both terms inside the parentheses:
12 - 3x = 8 - 8x + 24
2. Combine like terms on the right side of the equation:
12 - 3x = 32 - 8x
3. Move the variable terms (with x) to the left side of the equation and the constant terms (without x) to the right side. You can do this by adding 8x to both sides of the equation and subtracting 12 from both sides:
8x - 3x = 32 - 12
4. Simplify both sides of the equation:
5x = 20
5. To isolate the variable x, divide both sides of the equation by the coefficient of x, which is 5:
x = 20 / 5
6. Simplify the right side of the equation:
x = 4
Therefore, the value of x that solves the equation is 4.