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

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

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

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

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

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

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

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

Solving
32 + 8x = 3 + 3x

Solving for variable 'x'.

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

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

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

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

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

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

Combine like terms: 3 + -32 = -29
5x = -29

Divide each side by '5'.
x = -5.8

Simplifying
x = -5.8