0.4x-2.5(x-1)=13

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Solution for 0.4x-2.5(x-1)=13 equation: 


Simplifying
0.4x + -2.5(x + -1) = 13

Reorder the terms:
0.4x + -2.5(-1 + x) = 13
0.4x + (-1 * -2.5 + x * -2.5) = 13
0.4x + (2.5 + -2.5x) = 13

Reorder the terms:
2.5 + 0.4x + -2.5x = 13

Combine like terms: 0.4x + -2.5x = -2.1x
2.5 + -2.1x = 13

Solving
2.5 + -2.1x = 13

Solving for variable 'x'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + -2.1x = 13 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -2.1x = 13 + -2.5
-2.1x = 13 + -2.5

Combine like terms: 13 + -2.5 = 10.5
-2.1x = 10.5

Divide each side by '-2.1'.
x = -5

Simplifying
x = -5

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