6x-3=5x+10-2

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


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

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

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

Combine like terms: 10 + -2 = 8
-3 + 6x = 8 + 5x

Solving
-3 + 6x = 8 + 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.
-3 + 6x + -5x = 8 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-3 + 1x = 8 + 5x + -5x

Combine like terms: 5x + -5x = 0
-3 + 1x = 8 + 0
-3 + 1x = 8

Add '3' to each side of the equation.
-3 + 3 + 1x = 8 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = 8 + 3
1x = 8 + 3

Combine like terms: 8 + 3 = 11
1x = 11

Divide each side by '1'.
x = 11

Simplifying
x = 11

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