6x-1+4x+2=4x-6+5x-6+4x+2

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Solution for 6x-1+4x+2=4x-6+5x-6+4x+2 equation:


Simplifying
6x + -1 + 4x + 2 = 4x + -6 + 5x + -6 + 4x + 2

Reorder the terms:
-1 + 2 + 6x + 4x = 4x + -6 + 5x + -6 + 4x + 2

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

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

Reorder the terms:
1 + 10x = -6 + -6 + 2 + 4x + 5x + 4x

Combine like terms: -6 + -6 = -12
1 + 10x = -12 + 2 + 4x + 5x + 4x

Combine like terms: -12 + 2 = -10
1 + 10x = -10 + 4x + 5x + 4x

Combine like terms: 4x + 5x = 9x
1 + 10x = -10 + 9x + 4x

Combine like terms: 9x + 4x = 13x
1 + 10x = -10 + 13x

Solving
1 + 10x = -10 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
1 + 10x + -13x = -10 + 13x + -13x

Combine like terms: 10x + -13x = -3x
1 + -3x = -10 + 13x + -13x

Combine like terms: 13x + -13x = 0
1 + -3x = -10 + 0
1 + -3x = -10

Add '-1' to each side of the equation.
1 + -1 + -3x = -10 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = -10 + -1
-3x = -10 + -1

Combine like terms: -10 + -1 = -11
-3x = -11

Divide each side by '-3'.
x = 3.666666667

Simplifying
x = 3.666666667

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