3(1+x)=2[5(x-3)-(x+1)]

Solution for 3(1+x)=2[5(x-3)-(x+1)] equation:

Simplifying
3(1 + x) = 2[5(x + -3) + -1(x + 1)]
(1 * 3 + x * 3) = 2[5(x + -3) + -1(x + 1)]
(3 + 3x) = 2[5(x + -3) + -1(x + 1)]

Reorder the terms:
3 + 3x = 2[5(-3 + x) + -1(x + 1)]
3 + 3x = 2[(-3 * 5 + x * 5) + -1(x + 1)]
3 + 3x = 2[(-15 + 5x) + -1(x + 1)]

Reorder the terms:
3 + 3x = 2[-15 + 5x + -1(1 + x)]
3 + 3x = 2[-15 + 5x + (1 * -1 + x * -1)]
3 + 3x = 2[-15 + 5x + (-1 + -1x)]

Reorder the terms:
3 + 3x = 2[-15 + -1 + 5x + -1x]

Combine like terms: -15 + -1 = -16
3 + 3x = 2[-16 + 5x + -1x]

Combine like terms: 5x + -1x = 4x
3 + 3x = 2[-16 + 4x]
3 + 3x = [-16 * 2 + 4x * 2]
3 + 3x = [-32 + 8x]

Solving
3 + 3x = -32 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
3 + 3x + -8x = -32 + 8x + -8x

Combine like terms: 3x + -8x = -5x
3 + -5x = -32 + 8x + -8x

Combine like terms: 8x + -8x = 0
3 + -5x = -32 + 0
3 + -5x = -32

Add '-3' to each side of the equation.
3 + -3 + -5x = -32 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = -32 + -3
-5x = -32 + -3

Combine like terms: -32 + -3 = -35
-5x = -35

Divide each side by '-5'.
x = 7

Simplifying
x = 7