Question

Solve the equation: 3(x)/(5)-4=-6+x Enter in your answer as x

Answer 1

To solve the equation 3(x)/(5)-4=-6+x, follow these steps: distribute the 3 across the terms, combine like terms, simplify the equation, solve for x.

Step-by-step explanation:

To solve the equation 3(x)/(5)-4=-6+x, we can use the following steps:

1. Distribute the 3 across the terms in the numerator: (3x)/5 - 4 = -6 + x
2. Combine like terms by adding x to both sides of the equation: (3x)/5 - x - 4 = -6
3. Combine the x terms on the left side of the equation: (3x - 5x)/5 - 4 = -6
4. Simplify the left side by combining like terms: -2x/5 - 4 = -6
5. Add 4 to both sides of the equation: -2x/5 = -2
6. Multiply both sides of the equation by 5 to get rid of the fraction: -2x = -10
7. Divide both sides of the equation by -2: x = 5