Question

Уравнение -3×(-x-5)-5(x+4)=-4(x-6)-(-x+3)

Answer 1

-3(-х-5)-5(х+4)=-4(х-6)-(-х+3)
3х+15-5х-20=-4х+24+х-3
х=26

Answer 2

To solve the equation, first simplify both sides step by step and then isolate the variable (x). Let's go through the process:

Given equation: -3×(-x-5) - 5(x+4) = -4(x-6) - (-x+3)

Step 1: Apply the distributive property on each side to remove parentheses: 3(x+5) - 5(x+4) = -4(x-6) - (-x+3)

Step 2: Distribute the constants: 3x + 15 - 5x - 20 = -4x + 24 + x - 3

Step 3: Combine like terms on each side: (3x - 5x) + (15 - 20) = (-4x + x) + (24 - 3)

Step 4: Simplify further: -2x - 5 = -3x + 21

Step 5: Get all terms with x on one side by adding 3x to both sides: -2x + 3x - 5 = -3x + 3x + 21

Step 6: Combine like terms: x - 5 = 21

Step 7: Isolate x by adding 5 to both sides: x - 5 + 5 = 21 + 5

Step 8: Final solution: x = 26

Therefore, the solution to the equation is x = 26.