8+6x-42=105-7x

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Solution for 8+6x-42=105-7x equation:


Simplifying
8 + 6x + -42 = 105 + -7x

Reorder the terms:
8 + -42 + 6x = 105 + -7x

Combine like terms: 8 + -42 = -34
-34 + 6x = 105 + -7x

Solving
-34 + 6x = 105 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-34 + 6x + 7x = 105 + -7x + 7x

Combine like terms: 6x + 7x = 13x
-34 + 13x = 105 + -7x + 7x

Combine like terms: -7x + 7x = 0
-34 + 13x = 105 + 0
-34 + 13x = 105

Add '34' to each side of the equation.
-34 + 34 + 13x = 105 + 34

Combine like terms: -34 + 34 = 0
0 + 13x = 105 + 34
13x = 105 + 34

Combine like terms: 105 + 34 = 139
13x = 139

Divide each side by '13'.
x = 10.69230769

Simplifying
x = 10.69230769

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