4x-(5x-3)+(7x-4)=3x+5-(3-2x)

Solution for 4x-(5x-3)+(7x-4)=3x+5-(3-2x) equation:

Simplifying
4x + -1(5x + -3) + (7x + -4) = 3x + 5 + -1(3 + -2x)

Reorder the terms:
4x + -1(-3 + 5x) + (7x + -4) = 3x + 5 + -1(3 + -2x)
4x + (-3 * -1 + 5x * -1) + (7x + -4) = 3x + 5 + -1(3 + -2x)
4x + (3 + -5x) + (7x + -4) = 3x + 5 + -1(3 + -2x)

Reorder the terms:
4x + 3 + -5x + (-4 + 7x) = 3x + 5 + -1(3 + -2x)

Remove parenthesis around (-4 + 7x)
4x + 3 + -5x + -4 + 7x = 3x + 5 + -1(3 + -2x)

Reorder the terms:
3 + -4 + 4x + -5x + 7x = 3x + 5 + -1(3 + -2x)

Combine like terms: 3 + -4 = -1
-1 + 4x + -5x + 7x = 3x + 5 + -1(3 + -2x)

Combine like terms: 4x + -5x = -1x
-1 + -1x + 7x = 3x + 5 + -1(3 + -2x)

Combine like terms: -1x + 7x = 6x
-1 + 6x = 3x + 5 + -1(3 + -2x)
-1 + 6x = 3x + 5 + (3 * -1 + -2x * -1)
-1 + 6x = 3x + 5 + (-3 + 2x)

Reorder the terms:
-1 + 6x = 5 + -3 + 3x + 2x

Combine like terms: 5 + -3 = 2
-1 + 6x = 2 + 3x + 2x

Combine like terms: 3x + 2x = 5x
-1 + 6x = 2 + 5x

Solving
-1 + 6x = 2 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
-1 + 6x + -5x = 2 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-1 + 1x = 2 + 5x + -5x

Combine like terms: 5x + -5x = 0
-1 + 1x = 2 + 0
-1 + 1x = 2

Add '1' to each side of the equation.
-1 + 1 + 1x = 2 + 1

Combine like terms: -1 + 1 = 0
0 + 1x = 2 + 1
1x = 2 + 1

Combine like terms: 2 + 1 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3