Question

(7х+3)-(5х-7)=(2х-5)-(3х-6)

Answer 1

(7х+3)-(5х-7)=(2х-5)-(3х-6)
7х+3-5х+7=2х-5-3х+6
7х-5х-2х+3х=6-5-7-3
3х=-9
х=-3

Answer 2

To solve the given equation, let's simplify both sides step by step:

1. Simplify the left-hand side of the equation: (7x + 3) - (5x - 7)

Remove the parentheses: 7x + 3 - 5x + 7

Combine like terms: (7x - 5x) + (3 + 7)

Simplify further: 2x + 10

2. Simplify the right-hand side of the equation: (2x - 5) - (3x - 6)

Remove the parentheses: 2x - 5 - 3x + 6

Combine like terms: (2x - 3x) + (-5 + 6)

Simplify further: -x + 1

Now we have the equation: 2x + 10 = -x + 1

Next, let's isolate the variable x on one side of the equation. To do this, we'll move the terms containing x to one side and the constant terms to the other side:

Add x to both sides: 2x + x + 10 = -x + x + 1

Combine like terms: 3x + 10 = 1

Now, subtract 10 from both sides: 3x + 10 - 10 = 1 - 10

Simplify: 3x = -9

Finally, divide both sides by 3 to solve for x: x = -9 / 3

x = -3

So, the solution to the equation is x = -3. You can verify this by substituting x with -3 in the original equation to see if both sides are equal.