6x+7x-84=105-8x

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Solution for 6x+7x-84=105-8x equation:


Simplifying
6x + 7x + -84 = 105 + -8x

Reorder the terms:
-84 + 6x + 7x = 105 + -8x

Combine like terms: 6x + 7x = 13x
-84 + 13x = 105 + -8x

Solving
-84 + 13x = 105 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-84 + 13x + 8x = 105 + -8x + 8x

Combine like terms: 13x + 8x = 21x
-84 + 21x = 105 + -8x + 8x

Combine like terms: -8x + 8x = 0
-84 + 21x = 105 + 0
-84 + 21x = 105

Add '84' to each side of the equation.
-84 + 84 + 21x = 105 + 84

Combine like terms: -84 + 84 = 0
0 + 21x = 105 + 84
21x = 105 + 84

Combine like terms: 105 + 84 = 189
21x = 189

Divide each side by '21'.
x = 9

Simplifying
x = 9

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