(3-5x)-(4x-6)=(x+4)-3(x-1)

Solution for (3-5x)-(4x-6)=(x+4)-3(x-1) equation:

Simplifying
(3 + -5x) + -1(4x + -6) = (x + 4) + -3(x + -1)

Remove parenthesis around (3 + -5x)
3 + -5x + -1(4x + -6) = (x + 4) + -3(x + -1)

Reorder the terms:
3 + -5x + -1(-6 + 4x) = (x + 4) + -3(x + -1)
3 + -5x + (-6 * -1 + 4x * -1) = (x + 4) + -3(x + -1)
3 + -5x + (6 + -4x) = (x + 4) + -3(x + -1)

Reorder the terms:
3 + 6 + -5x + -4x = (x + 4) + -3(x + -1)

Combine like terms: 3 + 6 = 9
9 + -5x + -4x = (x + 4) + -3(x + -1)

Combine like terms: -5x + -4x = -9x
9 + -9x = (x + 4) + -3(x + -1)

Reorder the terms:
9 + -9x = (4 + x) + -3(x + -1)

Remove parenthesis around (4 + x)
9 + -9x = 4 + x + -3(x + -1)

Reorder the terms:
9 + -9x = 4 + x + -3(-1 + x)
9 + -9x = 4 + x + (-1 * -3 + x * -3)
9 + -9x = 4 + x + (3 + -3x)

Reorder the terms:
9 + -9x = 4 + 3 + x + -3x

Combine like terms: 4 + 3 = 7
9 + -9x = 7 + x + -3x

Combine like terms: x + -3x = -2x
9 + -9x = 7 + -2x

Solving
9 + -9x = 7 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
9 + -9x + 2x = 7 + -2x + 2x

Combine like terms: -9x + 2x = -7x
9 + -7x = 7 + -2x + 2x

Combine like terms: -2x + 2x = 0
9 + -7x = 7 + 0
9 + -7x = 7

Add '-9' to each side of the equation.
9 + -9 + -7x = 7 + -9

Combine like terms: 9 + -9 = 0
0 + -7x = 7 + -9
-7x = 7 + -9

Combine like terms: 7 + -9 = -2
-7x = -2

Divide each side by '-7'.
x = 0.2857142857

Simplifying
x = 0.2857142857