5(2x-4)-4(x-2)=3(x-4)+16x-4
5(2x-4)-4(x-2)=3(x-4)+16x-4
10x-8-4x+8 = 3x-12+16x-4
can you finish it off now?
To solve this equation, we will use the distributive property and then simplify both sides of the equation.
Let's start by applying the distributive property to each term on both sides:
5 * 2x - 5 * 4 - 4 * x + 4 * 2 = 3 * x - 3 * 4 + 16 * x - 4
10x - 20 - 4x + 8 = 3x - 12 + 16x - 4
Now, let's combine like terms on each side:
(10x - 4x) + (8 - 20) = (3x + 16x) + (-12 - 4)
6x - 12 = 19x - 16
Next, let's isolate the variable terms (terms with x) on one side of the equation by subtracting 19x from both sides:
6x - 19x - 12 = 19x - 19x - 16
-13x - 12 = -16
Now, let's isolate the variable term by adding 12 to both sides:
-13x - 12 + 12 = -16 + 12
-13x = -4
Finally, let's solve for x by dividing both sides by -13:
(-13x)/(-13) = (-4)/(-13)
x = 4/13
So, the solution to the equation is x = 4/13.