3x+7=97-5x

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Solution for 3x+7=97-5x equation:


Simplifying
3x + 7 = 97 + -5x

Reorder the terms:
7 + 3x = 97 + -5x

Solving
7 + 3x = 97 + -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.
7 + 3x + 5x = 97 + -5x + 5x

Combine like terms: 3x + 5x = 8x
7 + 8x = 97 + -5x + 5x

Combine like terms: -5x + 5x = 0
7 + 8x = 97 + 0
7 + 8x = 97

Add '-7' to each side of the equation.
7 + -7 + 8x = 97 + -7

Combine like terms: 7 + -7 = 0
0 + 8x = 97 + -7
8x = 97 + -7

Combine like terms: 97 + -7 = 90
8x = 90

Divide each side by '8'.
x = 11.25

Simplifying
x = 11.25

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