5[x-(4x-5)]=3.2x

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Solution for 5[x-(4x-5)]=3.2x equation:


Simplifying
5[x + -1(4x + -5)] = 3.2x

Reorder the terms:
5[x + -1(-5 + 4x)] = 3.2x
5[x + (-5 * -1 + 4x * -1)] = 3.2x
5[x + (5 + -4x)] = 3.2x

Reorder the terms:
5[5 + x + -4x] = 3.2x

Combine like terms: x + -4x = -3x
5[5 + -3x] = 3.2x
[5 * 5 + -3x * 5] = 3.2x
[25 + -15x] = 3.2x

Solving
25 + -15x = 3.2x

Solving for variable 'x'.

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

Add '-3.2x' to each side of the equation.
25 + -15x + -3.2x = 3.2x + -3.2x

Combine like terms: -15x + -3.2x = -18.2x
25 + -18.2x = 3.2x + -3.2x

Combine like terms: 3.2x + -3.2x = 0.0
25 + -18.2x = 0.0

Add '-25' to each side of the equation.
25 + -25 + -18.2x = 0.0 + -25

Combine like terms: 25 + -25 = 0
0 + -18.2x = 0.0 + -25
-18.2x = 0.0 + -25

Combine like terms: 0.0 + -25 = -25
-18.2x = -25

Divide each side by '-18.2'.
x = 1.373626374

Simplifying
x = 1.373626374

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