3(x+1)=5(x-(4-x))

Solution for 3(x+1)=5(x-(4-x)) equation:

Simplifying
3(x + 1) = 5(x + -1(4 + -1x))

Reorder the terms:
3(1 + x) = 5(x + -1(4 + -1x))
(1 * 3 + x * 3) = 5(x + -1(4 + -1x))
(3 + 3x) = 5(x + -1(4 + -1x))
3 + 3x = 5(x + (4 * -1 + -1x * -1))
3 + 3x = 5(x + (-4 + 1x))

Reorder the terms:
3 + 3x = 5(-4 + x + 1x)

Combine like terms: x + 1x = 2x
3 + 3x = 5(-4 + 2x)
3 + 3x = (-4 * 5 + 2x * 5)
3 + 3x = (-20 + 10x)

Solving
3 + 3x = -20 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
3 + 3x + -10x = -20 + 10x + -10x

Combine like terms: 3x + -10x = -7x
3 + -7x = -20 + 10x + -10x

Combine like terms: 10x + -10x = 0
3 + -7x = -20 + 0
3 + -7x = -20

Add '-3' to each side of the equation.
3 + -3 + -7x = -20 + -3

Combine like terms: 3 + -3 = 0
0 + -7x = -20 + -3
-7x = -20 + -3

Combine like terms: -20 + -3 = -23
-7x = -23

Divide each side by '-7'.
x = 3.285714286

Simplifying
x = 3.285714286