5[2(x-3.2)+x]=x-4

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Solution for 5[2(x-3.2)+x]=x-4 equation:


Simplifying
5[2(x + -3.2) + x] = x + -4

Reorder the terms:
5[2(-3.2 + x) + x] = x + -4
5[(-3.2 * 2 + x * 2) + x] = x + -4
5[(-6.4 + 2x) + x] = x + -4

Combine like terms: 2x + x = 3x
5[-6.4 + 3x] = x + -4
[-6.4 * 5 + 3x * 5] = x + -4
[-32 + 15x] = x + -4

Reorder the terms:
-32 + 15x = -4 + x

Solving
-32 + 15x = -4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-32 + 15x + -1x = -4 + x + -1x

Combine like terms: 15x + -1x = 14x
-32 + 14x = -4 + x + -1x

Combine like terms: x + -1x = 0
-32 + 14x = -4 + 0
-32 + 14x = -4

Add '32' to each side of the equation.
-32 + 32 + 14x = -4 + 32

Combine like terms: -32 + 32 = 0
0 + 14x = -4 + 32
14x = -4 + 32

Combine like terms: -4 + 32 = 28
14x = 28

Divide each side by '14'.
x = 2

Simplifying
x = 2

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