(6x-21)+(4+10x)+(4x+1)=x

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Solution for (6x-21)+(4+10x)+(4x+1)=x equation:


Simplifying
(6x + -21) + (4 + 10x) + (4x + 1) = x

Reorder the terms:
(-21 + 6x) + (4 + 10x) + (4x + 1) = x

Remove parenthesis around (-21 + 6x)
-21 + 6x + (4 + 10x) + (4x + 1) = x

Remove parenthesis around (4 + 10x)
-21 + 6x + 4 + 10x + (4x + 1) = x

Reorder the terms:
-21 + 6x + 4 + 10x + (1 + 4x) = x

Remove parenthesis around (1 + 4x)
-21 + 6x + 4 + 10x + 1 + 4x = x

Reorder the terms:
-21 + 4 + 1 + 6x + 10x + 4x = x

Combine like terms: -21 + 4 = -17
-17 + 1 + 6x + 10x + 4x = x

Combine like terms: -17 + 1 = -16
-16 + 6x + 10x + 4x = x

Combine like terms: 6x + 10x = 16x
-16 + 16x + 4x = x

Combine like terms: 16x + 4x = 20x
-16 + 20x = x

Solving
-16 + 20x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-16 + 20x + -1x = x + -1x

Combine like terms: 20x + -1x = 19x
-16 + 19x = x + -1x

Combine like terms: x + -1x = 0
-16 + 19x = 0

Add '16' to each side of the equation.
-16 + 16 + 19x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 19x = 0 + 16
19x = 0 + 16

Combine like terms: 0 + 16 = 16
19x = 16

Divide each side by '19'.
x = 0.8421052632

Simplifying
x = 0.8421052632

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