3x-5x+6=2x-10+4

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Solution for 3x-5x+6=2x-10+4 equation:


Simplifying
3x + -5x + 6 = 2x + -10 + 4

Reorder the terms:
6 + 3x + -5x = 2x + -10 + 4

Combine like terms: 3x + -5x = -2x
6 + -2x = 2x + -10 + 4

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

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

Solving
6 + -2x = -6 + 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 + -2x + -2x = -6 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
6 + -4x = -6 + 0
6 + -4x = -6

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

Combine like terms: 6 + -6 = 0
0 + -4x = -6 + -6
-4x = -6 + -6

Combine like terms: -6 + -6 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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