6x+21=5x-10

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Solution for 6x+21=5x-10 equation:


Simplifying
6x + 21 = 5x + -10

Reorder the terms:
21 + 6x = 5x + -10

Reorder the terms:
21 + 6x = -10 + 5x

Solving
21 + 6x = -10 + 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.
21 + 6x + -5x = -10 + 5x + -5x

Combine like terms: 6x + -5x = 1x
21 + 1x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
21 + 1x = -10 + 0
21 + 1x = -10

Add '-21' to each side of the equation.
21 + -21 + 1x = -10 + -21

Combine like terms: 21 + -21 = 0
0 + 1x = -10 + -21
1x = -10 + -21

Combine like terms: -10 + -21 = -31
1x = -31

Divide each side by '1'.
x = -31

Simplifying
x = -31

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