solve 3(x-2)+4x=-27
3(x-2)+4x=-27
3x - 6 + 4x = -27
7x - 6 + 6 = -27 + 6
7x = -21
x = -21/7
x = -3
3/4x=27
To solve the equation 3(x - 2) + 4x = -27, follow these steps:
Step 1: Expand the equation
Start by distributing (multiplying) the 3 to the terms inside the parentheses:
3 * x = 3x
3 * (-2) = -6
So, the equation becomes: 3x - 6 + 4x = -27
Step 2: Combine like terms
Combine the x terms on the left-hand side of the equation:
3x + 4x = 7x
The equation becomes: 7x - 6 = -27
Step 3: Isolate the x term
To isolate the x term, we need to move the constant term (-6) to the right-hand side of the equation by adding 6 to both sides:
7x - 6 + 6 = -27 + 6
Simplifying gives: 7x = -21
Step 4: Solve for x
To solve for x, divide both sides of the equation by 7:
(7x) / 7 = (-21) / 7
This simplifies to: x = -3
So, the solution to the equation 3(x - 2) + 4x = -27 is x = -3.