(10x-15)=(6x+14)+11

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Solution for (10x-15)=(6x+14)+11 equation:


Simplifying
(10x + -15) = (6x + 14) + 11

Reorder the terms:
(-15 + 10x) = (6x + 14) + 11

Remove parenthesis around (-15 + 10x)
-15 + 10x = (6x + 14) + 11

Reorder the terms:
-15 + 10x = (14 + 6x) + 11

Remove parenthesis around (14 + 6x)
-15 + 10x = 14 + 6x + 11

Reorder the terms:
-15 + 10x = 14 + 11 + 6x

Combine like terms: 14 + 11 = 25
-15 + 10x = 25 + 6x

Solving
-15 + 10x = 25 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-15 + 10x + -6x = 25 + 6x + -6x

Combine like terms: 10x + -6x = 4x
-15 + 4x = 25 + 6x + -6x

Combine like terms: 6x + -6x = 0
-15 + 4x = 25 + 0
-15 + 4x = 25

Add '15' to each side of the equation.
-15 + 15 + 4x = 25 + 15

Combine like terms: -15 + 15 = 0
0 + 4x = 25 + 15
4x = 25 + 15

Combine like terms: 25 + 15 = 40
4x = 40

Divide each side by '4'.
x = 10

Simplifying
x = 10

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