3x+6-7x=2x-10

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Solution for 3x+6-7x=2x-10 equation:


Simplifying
3x + 6 + -7x = 2x + -10

Reorder the terms:
6 + 3x + -7x = 2x + -10

Combine like terms: 3x + -7x = -4x
6 + -4x = 2x + -10

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

Solving
6 + -4x = -10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + -4x + -2x = -10 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
6 + -6x = -10 + 0
6 + -6x = -10

Add '-6' to each side of the equation.
6 + -6 + -6x = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -6x = -10 + -6
-6x = -10 + -6

Combine like terms: -10 + -6 = -16
-6x = -16

Divide each side by '-6'.
x = 2.666666667

Simplifying
x = 2.666666667

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