100-2[4(5x+6)-x]=

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Solution for 100-2[4(5x+6)-x]= equation: 


Simplifying
100 + -2[4(5x + 6) + -1x] = 0

Reorder the terms:
100 + -2[4(6 + 5x) + -1x] = 0
100 + -2[(6 * 4 + 5x * 4) + -1x] = 0
100 + -2[(24 + 20x) + -1x] = 0

Combine like terms: 20x + -1x = 19x
100 + -2[24 + 19x] = 0
100 + [24 * -2 + 19x * -2] = 0
100 + [-48 + -38x] = 0

Combine like terms: 100 + -48 = 52
52 + -38x = 0

Solving
52 + -38x = 0

Solving for variable 'x'.

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

Add '-52' to each side of the equation.
52 + -52 + -38x = 0 + -52

Combine like terms: 52 + -52 = 0
0 + -38x = 0 + -52
-38x = 0 + -52

Combine like terms: 0 + -52 = -52
-38x = -52

Divide each side by '-38'.
x = 1.368421053

Simplifying
x = 1.368421053

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