Question

Решите уравнение 1 +7[ 15-3х]-[2х+48]= -34[5-х]+18[1-2х] -4[16+8х]+12[7-3х]=50[х+3]-[15-х]

Answer 1

1+105-21x-2x-48=-170+34x+36x+36x=-170+34-64+84-150-1
15x=-222
x=14.8 както так

Answer 2

Solving the Equation

To solve the equation 1 + 7[15 - 3x] - [2x + 48] = -34[5 - x] + 18[1 - 2x] + -4[16 + 8x] + 12[7 - 3x] = 50[x + 3] - [15 - x], we will break it down step by step.

Step 1: Simplify the equation by removing the brackets.

The equation becomes:

1 + 7(15 - 3x) - (2x + 48) = -34(5 - x) + 18(1 - 2x) + -4(16 + 8x) + 12(7 - 3x) = 50(x + 3) - (15 - x)

Step 2: Distribute the numbers outside the brackets.

1 + 7(15) - 7(3x) - (2x + 48) = -34(5) + 34(x) + 18(1) - 18(2x) + -4(16) + -4(8x) + 12(7) - 12(3x) = 50(x) + 50(3) - (15 - x)

Simplifying further:

1 + 105 - 21x - 2x - 48 = -170 + 34x + 18 - 36x - 64 - 32x + 84 - 36x = 50x + 150 - 15 + x

Step 3: Combine like terms.

58 - 23x = -170 - 34x - 46x - 32x + 50x + 135

Simplifying further:

58 - 23x = -12x - 170 + 135

Step 4: Combine like terms again.

58 - 23x = -12x - 35

Step 5: Move all the terms with x to one side of the equation.

23x - 12x = -35 - 58

Simplifying further:

11x = -93

Step 6: Solve for x by dividing both sides of the equation by 11.

x = -93 / 11

Simplifying further:

x = -8.454545...

Therefore, the solution to the equation is x = -8.454545....

Please note that the solution has been rounded to a certain number of decimal places for simplicity.