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

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


Simplifying
3x + 2x + -6 = 5x + -1x + 10

Reorder the terms:
-6 + 3x + 2x = 5x + -1x + 10

Combine like terms: 3x + 2x = 5x
-6 + 5x = 5x + -1x + 10

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

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

Solving
-6 + 5x = 10 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-6 + 5x + -4x = 10 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-6 + 1x = 10 + 0
-6 + 1x = 10

Add '6' to each side of the equation.
-6 + 6 + 1x = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 1x = 10 + 6
1x = 10 + 6

Combine like terms: 10 + 6 = 16
1x = 16

Divide each side by '1'.
x = 16

Simplifying
x = 16

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