9.7x+8.2=5.0x-7

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Solution for 9.7x+8.2=5.0x-7 equation: 


Simplifying
9.7x + 8.2 = 5.0x + -7

Reorder the terms:
8.2 + 9.7x = 5.0x + -7

Reorder the terms:
8.2 + 9.7x = -7 + 5.0x

Solving
8.2 + 9.7x = -7 + 5.0x

Solving for variable 'x'.

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

Add '-5.0x' to each side of the equation.
8.2 + 9.7x + -5.0x = -7 + 5.0x + -5.0x

Combine like terms: 9.7x + -5.0x = 4.7x
8.2 + 4.7x = -7 + 5.0x + -5.0x

Combine like terms: 5.0x + -5.0x = 0.0
8.2 + 4.7x = -7 + 0.0
8.2 + 4.7x = -7

Add '-8.2' to each side of the equation.
8.2 + -8.2 + 4.7x = -7 + -8.2

Combine like terms: 8.2 + -8.2 = 0.0
0.0 + 4.7x = -7 + -8.2
4.7x = -7 + -8.2

Combine like terms: -7 + -8.2 = -15.2
4.7x = -15.2

Divide each side by '4.7'.
x = -3.234042553

Simplifying
x = -3.234042553

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