1.3[2(x-8)+1]=19

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Solution for 1.3[2(x-8)+1]=19 equation: 


Simplifying
1.3[2(x + -8) + 1] = 19

Reorder the terms:
1.3[2(-8 + x) + 1] = 19
1.3[(-8 * 2 + x * 2) + 1] = 19
1.3[(-16 + 2x) + 1] = 19

Reorder the terms:
1.3[-16 + 1 + 2x] = 19

Combine like terms: -16 + 1 = -15
1.3[-15 + 2x] = 19
[-15 * 1.3 + 2x * 1.3] = 19
[-19.5 + 2.6x] = 19

Solving
-19.5 + 2.6x = 19

Solving for variable 'x'.

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

Add '19.5' to each side of the equation.
-19.5 + 19.5 + 2.6x = 19 + 19.5

Combine like terms: -19.5 + 19.5 = 0.0
0.0 + 2.6x = 19 + 19.5
2.6x = 19 + 19.5

Combine like terms: 19 + 19.5 = 38.5
2.6x = 38.5

Divide each side by '2.6'.
x = 14.80769231

Simplifying
x = 14.80769231

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