Solve for x:
4 + 2(x + 3x) = 4 − x(2 − 3) + 2x
Simplifying both sides:
4 + 2(4x) = 4 + 3x + 2x
8x + 4 = 5x + 4
Subtracting 5x and 4 from both sides:
3x = 0
Dividing by 3:
x = 0
Therefore, the solution is x = 0.
To solve for x in the given equation:
Step 1: Simplify both sides of the equation by performing the operations inside the parentheses.
On the left side of the equation:
4 + 2(x + 3x) = 4 + 2(4x) = 4 + 8x
On the right side of the equation:
4 − x(2 − 3) + 2x = 4 − x(-1) + 2x = 4 + x + 2x
So the equation becomes:
4 + 8x = 4 + x + 2x
Step 2: Combine like terms on both sides of the equation.
On the left side, we have 8x.
On the right side, we have x + 2x, which can be combined to give 3x.
So the equation now becomes:
4 + 8x = 4 + 3x
Step 3: Simplify the equation further by moving all the terms containing x to one side and the constant terms to the other side.
Subtracting 3x from both sides of the equation, we have:
4 + 8x - 3x = 4 + 3x - 3x
Simplifying on both sides, we get:
5x = 4
Step 4: Solve for x by dividing both sides of the equation by 5.
Dividing both sides by 5, we have:
x = 4 / 5
Therefore, the solution to the equation is:
x = 4 / 5