6x+7.5=7x-10.4

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Solution for 6x+7.5=7x-10.4 equation:


Simplifying
6x + 7.5 = 7x + -10.4

Reorder the terms:
7.5 + 6x = 7x + -10.4

Reorder the terms:
7.5 + 6x = -10.4 + 7x

Solving
7.5 + 6x = -10.4 + 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.
7.5 + 6x + -7x = -10.4 + 7x + -7x

Combine like terms: 6x + -7x = -1x
7.5 + -1x = -10.4 + 7x + -7x

Combine like terms: 7x + -7x = 0
7.5 + -1x = -10.4 + 0
7.5 + -1x = -10.4

Add '-7.5' to each side of the equation.
7.5 + -7.5 + -1x = -10.4 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + -1x = -10.4 + -7.5
-1x = -10.4 + -7.5

Combine like terms: -10.4 + -7.5 = -17.9
-1x = -17.9

Divide each side by '-1'.
x = 17.9

Simplifying
x = 17.9

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