(5-x)+(8x-11)=5+(3x+9)

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Solution for (5-x)+(8x-11)=5+(3x+9) equation:


Simplifying
(5 + -1x) + (8x + -11) = 5 + (3x + 9)

Remove parenthesis around (5 + -1x)
5 + -1x + (8x + -11) = 5 + (3x + 9)

Reorder the terms:
5 + -1x + (-11 + 8x) = 5 + (3x + 9)

Remove parenthesis around (-11 + 8x)
5 + -1x + -11 + 8x = 5 + (3x + 9)

Reorder the terms:
5 + -11 + -1x + 8x = 5 + (3x + 9)

Combine like terms: 5 + -11 = -6
-6 + -1x + 8x = 5 + (3x + 9)

Combine like terms: -1x + 8x = 7x
-6 + 7x = 5 + (3x + 9)

Reorder the terms:
-6 + 7x = 5 + (9 + 3x)

Remove parenthesis around (9 + 3x)
-6 + 7x = 5 + 9 + 3x

Combine like terms: 5 + 9 = 14
-6 + 7x = 14 + 3x

Solving
-6 + 7x = 14 + 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.
-6 + 7x + -3x = 14 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-6 + 4x = 14 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + 4x = 14 + 0
-6 + 4x = 14

Add '6' to each side of the equation.
-6 + 6 + 4x = 14 + 6

Combine like terms: -6 + 6 = 0
0 + 4x = 14 + 6
4x = 14 + 6

Combine like terms: 14 + 6 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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