can someone please help i think i have the solution but i keep confusing myself with negative - negative (maybe i've been staring at it to much
2(3x - 1) - 3(x - 2) = 4x
6x -2 -3x +6 = 4x
3x +4 = 4x
x = 4
Thank you i kept getting the +6 as a negative time for a break i think
Of course! I can help you solve the equation. Let's go step by step.
Step 1: Distribute
To eliminate the parentheses, we distribute the numbers outside the parentheses to the terms inside. Let's apply the distributive property.
2(3x - 1) - 3(x - 2) = 4x
2 * 3x - 2 * 1 - 3 * x + 3 * 2 = 4x
6x - 2 - 3x + 6 = 4x
Step 2: Combine like terms
Next, we simplify the equation by combining the like terms, which means combining the terms with the same variable and exponent.
(6x - 3x) + (-2 + 6) = 4x
3x + 4 = 4x
Step 3: Move variables to one side
Since we want all the terms with the variable x to be on one side of the equation, we'll subtract 3x from both sides.
(3x - 3x) + 4 = (4x - 3x)
0 + 4 = x
4 = x
Step 4: Final Solution
So, the value of x that satisfies the equation 2(3x - 1) - 3(x - 2) = 4x is x = 4.
I hope that helps! Let me know if you have any other questions or need further clarification.