x+(x+4)=5(x+2)-81

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Solution for x+(x+4)=5(x+2)-81 equation:


Simplifying
x + (x + 4) = 5(x + 2) + -81

Reorder the terms:
x + (4 + x) = 5(x + 2) + -81

Remove parenthesis around (4 + x)
x + 4 + x = 5(x + 2) + -81

Reorder the terms:
4 + x + x = 5(x + 2) + -81

Combine like terms: x + x = 2x
4 + 2x = 5(x + 2) + -81

Reorder the terms:
4 + 2x = 5(2 + x) + -81
4 + 2x = (2 * 5 + x * 5) + -81
4 + 2x = (10 + 5x) + -81

Reorder the terms:
4 + 2x = 10 + -81 + 5x

Combine like terms: 10 + -81 = -71
4 + 2x = -71 + 5x

Solving
4 + 2x = -71 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
4 + 2x + -5x = -71 + 5x + -5x

Combine like terms: 2x + -5x = -3x
4 + -3x = -71 + 5x + -5x

Combine like terms: 5x + -5x = 0
4 + -3x = -71 + 0
4 + -3x = -71

Add '-4' to each side of the equation.
4 + -4 + -3x = -71 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = -71 + -4
-3x = -71 + -4

Combine like terms: -71 + -4 = -75
-3x = -75

Divide each side by '-3'.
x = 25

Simplifying
x = 25

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