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

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

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

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

Reorder the terms:
6 = 4 + 3 + -4x + 3x

Combine like terms: 4 + 3 = 7
6 = 7 + -4x + 3x

Combine like terms: -4x + 3x = -1x
6 = 7 + -1x

Solving
6 = 7 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
6 + x = 7 + -1x + x

Combine like terms: -1x + x = 0
6 + x = 7 + 0
6 + x = 7

Add '-6' to each side of the equation.
6 + -6 + x = 7 + -6

Combine like terms: 6 + -6 = 0
0 + x = 7 + -6
x = 7 + -6

Combine like terms: 7 + -6 = 1
x = 1

Simplifying
x = 1