2x+5=6x-7x

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


Simplifying
2x + 5 = 6x + -7x

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

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

Solving
5 + 2x = -1x

Solving for variable 'x'.

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

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

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

Combine like terms: -1x + x = 0
5 + 3x = 0

Add '-5' to each side of the equation.
5 + -5 + 3x = 0 + -5

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

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

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

Simplifying
x = -1.666666667

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