(3x+6)+(5x-2)+x=10x+1

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Solution for (3x+6)+(5x-2)+x=10x+1 equation:


Simplifying
(3x + 6) + (5x + -2) + x = 10x + 1

Reorder the terms:
(6 + 3x) + (5x + -2) + x = 10x + 1

Remove parenthesis around (6 + 3x)
6 + 3x + (5x + -2) + x = 10x + 1

Reorder the terms:
6 + 3x + (-2 + 5x) + x = 10x + 1

Remove parenthesis around (-2 + 5x)
6 + 3x + -2 + 5x + x = 10x + 1

Reorder the terms:
6 + -2 + 3x + 5x + x = 10x + 1

Combine like terms: 6 + -2 = 4
4 + 3x + 5x + x = 10x + 1

Combine like terms: 3x + 5x = 8x
4 + 8x + x = 10x + 1

Combine like terms: 8x + x = 9x
4 + 9x = 10x + 1

Reorder the terms:
4 + 9x = 1 + 10x

Solving
4 + 9x = 1 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
4 + 9x + -10x = 1 + 10x + -10x

Combine like terms: 9x + -10x = -1x
4 + -1x = 1 + 10x + -10x

Combine like terms: 10x + -10x = 0
4 + -1x = 1 + 0
4 + -1x = 1

Add '-4' to each side of the equation.
4 + -4 + -1x = 1 + -4

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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