6(x-1)+43=x-3(x+1)

Solution for 6(x-1)+43=x-3(x+1) equation:

Simplifying
6(x + -1) + 43 = x + -3(x + 1)

Reorder the terms:
6(-1 + x) + 43 = x + -3(x + 1)
(-1 * 6 + x * 6) + 43 = x + -3(x + 1)
(-6 + 6x) + 43 = x + -3(x + 1)

Reorder the terms:
-6 + 43 + 6x = x + -3(x + 1)

Combine like terms: -6 + 43 = 37
37 + 6x = x + -3(x + 1)

Reorder the terms:
37 + 6x = x + -3(1 + x)
37 + 6x = x + (1 * -3 + x * -3)
37 + 6x = x + (-3 + -3x)

Reorder the terms:
37 + 6x = -3 + x + -3x

Combine like terms: x + -3x = -2x
37 + 6x = -3 + -2x

Solving
37 + 6x = -3 + -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.
37 + 6x + 2x = -3 + -2x + 2x

Combine like terms: 6x + 2x = 8x
37 + 8x = -3 + -2x + 2x

Combine like terms: -2x + 2x = 0
37 + 8x = -3 + 0
37 + 8x = -3

Add '-37' to each side of the equation.
37 + -37 + 8x = -3 + -37

Combine like terms: 37 + -37 = 0
0 + 8x = -3 + -37
8x = -3 + -37

Combine like terms: -3 + -37 = -40
8x = -40

Divide each side by '8'.
x = -5

Simplifying
x = -5