x+(x+1)=5(x+(x+1))

Solution for x+(x+1)=5(x+(x+1)) equation:

Simplifying
x + (x + 1) = 5(x + (x + 1))

Reorder the terms:
x + (1 + x) = 5(x + (x + 1))

Remove parenthesis around (1 + x)
x + 1 + x = 5(x + (x + 1))

Reorder the terms:
1 + x + x = 5(x + (x + 1))

Combine like terms: x + x = 2x
1 + 2x = 5(x + (x + 1))

Reorder the terms:
1 + 2x = 5(x + (1 + x))

Remove parenthesis around (1 + x)
1 + 2x = 5(x + 1 + x)

Reorder the terms:
1 + 2x = 5(1 + x + x)

Combine like terms: x + x = 2x
1 + 2x = 5(1 + 2x)
1 + 2x = (1 * 5 + 2x * 5)
1 + 2x = (5 + 10x)

Solving
1 + 2x = 5 + 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.
1 + 2x + -10x = 5 + 10x + -10x

Combine like terms: 2x + -10x = -8x
1 + -8x = 5 + 10x + -10x

Combine like terms: 10x + -10x = 0
1 + -8x = 5 + 0
1 + -8x = 5

Add '-1' to each side of the equation.
1 + -1 + -8x = 5 + -1

Combine like terms: 1 + -1 = 0
0 + -8x = 5 + -1
-8x = 5 + -1

Combine like terms: 5 + -1 = 4
-8x = 4

Divide each side by '-8'.
x = -0.5

Simplifying
x = -0.5