solve for x 4(2x-1)= 2x+35
4(2x-1)= 2x+35
8x - 4 = 2x + 35
8x - 2x - 4 + 4 = 2x - 2x + 35 + 4
6x = 39
x = 39/6 = 6.5
To solve for x in the equation 4(2x - 1) = 2x + 35, you need to apply the distributive property of multiplication over addition/subtraction and then simplify the equation.
Let's go step by step:
1. Distribute the 4 to both terms inside the parentheses:
4 * 2x = 8x
4 * -1 = -4
The equation now becomes: 8x - 4 = 2x + 35.
2. Next, move all the terms containing x to one side of the equation and the constant terms to the other side. You can do this by performing addition or subtraction on both sides. Start by subtracting 2x from both sides:
8x - 2x - 4 = 2x - 2x + 35
Simplifying the equation further, we get: 6x - 4 = 35.
3. Now, isolate x by moving the constant term (-4) to the other side of the equation. Add 4 to both sides:
6x - 4 + 4 = 35 + 4
Simplifying further, we get: 6x = 39.
4. Finally, solve for x by dividing both sides of the equation by 6:
(6x) / 6 = 39 / 6
Simplifying this equation, we find: x = 6.5.
Therefore, the solution to the equation 4(2x - 1) = 2x + 35 is x = 6.5.