6x+7=97-4x

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Solution for 6x+7=97-4x equation:


Simplifying
6x + 7 = 97 + -4x

Reorder the terms:
7 + 6x = 97 + -4x

Solving
7 + 6x = 97 + -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.
7 + 6x + 4x = 97 + -4x + 4x

Combine like terms: 6x + 4x = 10x
7 + 10x = 97 + -4x + 4x

Combine like terms: -4x + 4x = 0
7 + 10x = 97 + 0
7 + 10x = 97

Add '-7' to each side of the equation.
7 + -7 + 10x = 97 + -7

Combine like terms: 7 + -7 = 0
0 + 10x = 97 + -7
10x = 97 + -7

Combine like terms: 97 + -7 = 90
10x = 90

Divide each side by '10'.
x = 9

Simplifying
x = 9

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