5x+3-45 = 6x+9-30/1
you want to group like terms.
subtract the 5x from both sides, so you have
3-45= 6x-5x-30/1
you will then have
-42 = x -30
add 30 to both sides and you get
-12 = x
To solve the equation 5x+3-45 = 6x+9-30/1, you can follow these steps:
1. Group the like terms together. On the left side, the like terms are 5x and 3. On the right side, the like terms are 6x and 9.
Rewrite the equation as: 5x + 3 - 45 = 6x + 9 - 30/1.
2. Simplify both sides of the equation by combining the like terms. Subtract 5x from both sides to isolate the terms with x on one side:
3 - 45 = x + 9 - 30/1.
Simplify: -42 = x + 9 - 30/1.
3. Simplify further by subtracting 9 from both sides:
-42 - 9 = x + 9 - 30/1 - 9.
-51 = x - 30/1.
4. To eliminate the fraction, multiply both sides of the equation by 1/1 (which has the same value as multiplying by 1). This will simplify the equation:
(-51)(1/1) = (x)(1/1) - (30/1)(1/1).
-51 = x - 30.
5. To solve for x, add 30 to both sides of the equation:
-51 + 30 = x - 30 + 30.
-21 = x.
Therefore, the solution to the equation 5x+3-45 = 6x+9-30/1 is x = -21.