how do you solve this 3(4-x)-22=x+48 solve for x please help me!!!!!
3(4-x)-22=x+48
12 - 3x - 22 = x + 48
-4x = 48 - 12 + 22
-4x = 58
x = -14.5
To solve the equation 3(4-x) - 22 = x + 48 for x, we can follow these steps:
Step 1: Distribute 3 to the terms inside the parentheses:
12 - 3x - 22 = x + 48
Step 2: Combine like terms on both sides of the equation:
-3x - 10 = x + 48
Step 3: Add 3x to both sides of the equation to eliminate the -3x term on the left side:
-10 = 4x + 48
Step 4: Subtract 48 from both sides of the equation to isolate the 4x term on the right side:
-58 = 4x
Step 5: Divide both sides of the equation by 4 to solve for x:
x = -58/4
Step 6: Simplify the fraction:
x = -29/2
Therefore, the solution to the given equation is x = -29/2 or -14.5 in decimal form.