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

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

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

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

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

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

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

Solving
6 = -1 + 7x

Solving for variable 'x'.

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

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

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

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

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

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

Divide each side by '-7'.
x = 1

Simplifying
x = 1