81-(4x+9)=4(x+9)+x

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Solution for 81-(4x+9)=4(x+9)+x equation:


Simplifying
81 + -1(4x + 9) = 4(x + 9) + x

Reorder the terms:
81 + -1(9 + 4x) = 4(x + 9) + x
81 + (9 * -1 + 4x * -1) = 4(x + 9) + x
81 + (-9 + -4x) = 4(x + 9) + x

Combine like terms: 81 + -9 = 72
72 + -4x = 4(x + 9) + x

Reorder the terms:
72 + -4x = 4(9 + x) + x
72 + -4x = (9 * 4 + x * 4) + x
72 + -4x = (36 + 4x) + x

Combine like terms: 4x + x = 5x
72 + -4x = 36 + 5x

Solving
72 + -4x = 36 + 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.
72 + -4x + -5x = 36 + 5x + -5x

Combine like terms: -4x + -5x = -9x
72 + -9x = 36 + 5x + -5x

Combine like terms: 5x + -5x = 0
72 + -9x = 36 + 0
72 + -9x = 36

Add '-72' to each side of the equation.
72 + -72 + -9x = 36 + -72

Combine like terms: 72 + -72 = 0
0 + -9x = 36 + -72
-9x = 36 + -72

Combine like terms: 36 + -72 = -36
-9x = -36

Divide each side by '-9'.
x = 4

Simplifying
x = 4

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