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

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


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

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

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

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

Combine like terms: 11 + 9 = 20
-5 + 3x = 20 + -1x

Solving
-5 + 3x = 20 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-5 + 3x + x = 20 + -1x + x

Combine like terms: 3x + x = 4x
-5 + 4x = 20 + -1x + x

Combine like terms: -1x + x = 0
-5 + 4x = 20 + 0
-5 + 4x = 20

Add '5' to each side of the equation.
-5 + 5 + 4x = 20 + 5

Combine like terms: -5 + 5 = 0
0 + 4x = 20 + 5
4x = 20 + 5

Combine like terms: 20 + 5 = 25
4x = 25

Divide each side by '4'.
x = 6.25

Simplifying
x = 6.25

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