Question

20(x-4)-17(3-2x)=58+27x

Answer 1

20(x-4)-17(3-2x)=58+27x
20x-80-57+34x=58+27x
54x-131=58+27x
54x-27x=58+131
27x=189
x=189÷27
x=7

Answer 2

Let's solve the given equation step by step:

1. Distribute the terms on the left side: 20(x - 4) - 17(3 - 2x) = 58 + 27x

Expand the terms inside the parentheses: 20x - 80 - 51 + 34x = 58 + 27x

2. Combine like terms on the left side: (20x + 34x) + (-80 - 51) = 58 + 27x

Combine the coefficients of x: 54x - 131 = 58 + 27x

3. Move all the x terms to one side of the equation: 54x - 27x = 58 + 131

27x = 189

4. Divide both sides by 27 to solve for x: x = 189 / 27

x = 7

So, the solution to the equation is x = 7.