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

Combine like terms: 4x + 3x = 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