Question

2(2x-3)-5(3x-4)=5x+2

Answer 1

$2(2x - 3) - 5(3x - 4) = 5x + 2 \\ 4x - 6 - 15x + 20 = 5x + 2 \\ 16x = 12 \\ x = \frac{3}{4} \\ x = 0.75$

Answer 2

Let's solve the given equation step-by-step:

1. Distribute the coefficients on both sides of the equation: 2(2x - 3) - 5(3x - 4) = 5x + 2 Expand the terms inside the parentheses: 4x - 6 - 15x + 20 = 5x + 2

2. Combine like terms on both sides of the equation: (4x - 15x) + (-6 + 20) = 5x + 2 -11x + 14 = 5x + 2

3. Move the variable terms to one side and the constant terms to the other side: -11x - 5x = 2 - 14 -16x = -12

4. Solve for x by dividing both sides by -16: x = (-12) / (-16)

5. Simplify the fraction: x = 3/4

So, the solution to the equation is x = 3/4.