6.5x-5.2(x-1)=7.5

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Solution for 6.5x-5.2(x-1)=7.5 equation: 


Simplifying
6.5x + -5.2(x + -1) = 7.5

Reorder the terms:
6.5x + -5.2(-1 + x) = 7.5
6.5x + (-1 * -5.2 + x * -5.2) = 7.5
6.5x + (5.2 + -5.2x) = 7.5

Reorder the terms:
5.2 + 6.5x + -5.2x = 7.5

Combine like terms: 6.5x + -5.2x = 1.3x
5.2 + 1.3x = 7.5

Solving
5.2 + 1.3x = 7.5

Solving for variable 'x'.

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

Add '-5.2' to each side of the equation.
5.2 + -5.2 + 1.3x = 7.5 + -5.2

Combine like terms: 5.2 + -5.2 = 0.0
0.0 + 1.3x = 7.5 + -5.2
1.3x = 7.5 + -5.2

Combine like terms: 7.5 + -5.2 = 2.3
1.3x = 2.3

Divide each side by '1.3'.
x = 1.769230769

Simplifying
x = 1.769230769

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