4x-(x+3)=3(x+1)-2(x-1)

Solution for 4x-(x+3)=3(x+1)-2(x-1) equation:

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

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

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

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

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

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

Reorder the terms:
-3 + 3x = 3 + 2 + 3x + -2x

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

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

Solving
-3 + 3x = 5 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-3 + 3x + -1x = 5 + 1x + -1x

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

Combine like terms: 1x + -1x = 0
-3 + 2x = 5 + 0
-3 + 2x = 5

Add '3' to each side of the equation.
-3 + 3 + 2x = 5 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = 5 + 3
2x = 5 + 3

Combine like terms: 5 + 3 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4