2x+3+6x-1=5x-7+4

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Solution for 2x+3+6x-1=5x-7+4 equation:


Simplifying
2x + 3 + 6x + -1 = 5x + -7 + 4

Reorder the terms:
3 + -1 + 2x + 6x = 5x + -7 + 4

Combine like terms: 3 + -1 = 2
2 + 2x + 6x = 5x + -7 + 4

Combine like terms: 2x + 6x = 8x
2 + 8x = 5x + -7 + 4

Reorder the terms:
2 + 8x = -7 + 4 + 5x

Combine like terms: -7 + 4 = -3
2 + 8x = -3 + 5x

Solving
2 + 8x = -3 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
2 + 8x + -5x = -3 + 5x + -5x

Combine like terms: 8x + -5x = 3x
2 + 3x = -3 + 5x + -5x

Combine like terms: 5x + -5x = 0
2 + 3x = -3 + 0
2 + 3x = -3

Add '-2' to each side of the equation.
2 + -2 + 3x = -3 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = -3 + -2
3x = -3 + -2

Combine like terms: -3 + -2 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667

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