Question

3•(2 1/2x-2x)-31/15=8-(2/3-2x)​

Answer 1

Объяснение:

3•(2 1/2x-2x)-31/15=8-(2/3-2x)

Если перед скобкой стоит знак минус,то при раскрытий скобки будут меняться знаки членов в скобке на противоположные:

3×(5/2x-2x)-31/15=8-2/3+2x

Вычисляем: 5/2x- 2x ; 8-2/3 :

3×1/2x-31/15=22/3+2x

Вычисляем: 3×1/2x :

3/2x-31/15=22/3+2x

Общ. знаменатель равен 30:

45x-62=220+60x

45x-60x=220+62

-15x=282

x= -282/15= -94/5= -18 4/5

Answer 2

To solve the equation 3•(2+1/2x-2x)-31/15=8-(2/3-2x), we can follow a step-by-step process:

Step 1: Simplify both sides of the equation. - Starting with the left side of the equation: - Distribute the 3 to the terms inside the parentheses: 3•2 + 3•(1/2x) - 3•2x - Simplify the terms: 6 + (3/2)x - 6x - Combine like terms: (3/2)x - 6x + 6 - Moving to the right side of the equation: - Distribute the 8 to the terms inside the parentheses: 8 - (2/3) + (2x) - Simplify the terms: 8 - (2/3) + 2x - Combine like terms: 8 - (2/3) + 2x

Step 2: Combine like terms on both sides of the equation. - The equation becomes: (3/2)x - 6x + 6 = 8 - (2/3) + 2x

Step 3: Move all the terms with x to one side of the equation and the constant terms to the other side. - Let's move the terms with x to the left side and the constant terms to the right side: - (3/2)x - 6x - 2x = 8 - (2/3) - 6 - Simplifying the left side and the right side of the equation: - (3/2 - 6 - 2)x = 8 - (2/3) - 6 - (-9/2)x = 8 - (2/3) - 6

Step 4: Simplify the equation further. - Continuing to simplify: - (-9/2)x = 8 - (2/3) - 6 - (-9/2)x = 8 - 6 - (2/3) - (-9/2)x = 2 - (2/3) - (-9/2)x = (6/3) - (2/3) - (-9/2)x = (4/3) Step 5: Solve for x. - To solve for x, we can multiply both sides of the equation by the reciprocal of (-9/2), which is (-2/9): - x = (4/3) * (-2/9) - x = -8/27

Therefore, the solution to the equation 3•(2+1/2x-2x)-31/15=8-(2/3-2x) is x = -8/27.