To solve for x in the equation:
-3 (x - 6) + 4 (x + 1 ) = 7x - 8
you can follow these steps:
1. apply the distributive property on the left side of the equation:
-3 *x -(-3)* 6 + 4 * x + 4 * 1 = 7x - 8
-3x + 18 + 4x + 4 = 7x - 8
2. Combine like terms:
-3x + 18 + 4x + 4 = 7x - 8
-3x +4x +18 +4 = 7x -8
x + 22 = 7x - 8
3. Subtract x on both sides of the equation:
x + 22 = 7x - 8
x + 22 - x = 7x - 8 - x
x - x + 22 = 7x - x -8
22 = 6x -8
4. add 8 on both sides of the equation:
22 = 6x -8
22 + 8 = 6x -8 + 8
30 = 6x
5. Divide both sides of the equation by 6:
30/6 = 6x/6
5 = x
x = 5
Then, x equals 5