2x+1=(3x+9)+(6x-4)

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Solution for 2x+1=(3x+9)+(6x-4) equation:


Simplifying
2x + 1 = (3x + 9) + (6x + -4)

Reorder the terms:
1 + 2x = (3x + 9) + (6x + -4)

Reorder the terms:
1 + 2x = (9 + 3x) + (6x + -4)

Remove parenthesis around (9 + 3x)
1 + 2x = 9 + 3x + (6x + -4)

Reorder the terms:
1 + 2x = 9 + 3x + (-4 + 6x)

Remove parenthesis around (-4 + 6x)
1 + 2x = 9 + 3x + -4 + 6x

Reorder the terms:
1 + 2x = 9 + -4 + 3x + 6x

Combine like terms: 9 + -4 = 5
1 + 2x = 5 + 3x + 6x

Combine like terms: 3x + 6x = 9x
1 + 2x = 5 + 9x

Solving
1 + 2x = 5 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
1 + 2x + -9x = 5 + 9x + -9x

Combine like terms: 2x + -9x = -7x
1 + -7x = 5 + 9x + -9x

Combine like terms: 9x + -9x = 0
1 + -7x = 5 + 0
1 + -7x = 5

Add '-1' to each side of the equation.
1 + -1 + -7x = 5 + -1

Combine like terms: 1 + -1 = 0
0 + -7x = 5 + -1
-7x = 5 + -1

Combine like terms: 5 + -1 = 4
-7x = 4

Divide each side by '-7'.
x = -0.5714285714

Simplifying
x = -0.5714285714

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