2(5(3(x-1)-4)-2)=16

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Solution for 2(5(3(x-1)-4)-2)=16 equation:


Simplifying
2(5(3(x + -1) + -4) + -2) = 16

Reorder the terms:
2(5(3(-1 + x) + -4) + -2) = 16
2(5((-1 * 3 + x * 3) + -4) + -2) = 16
2(5((-3 + 3x) + -4) + -2) = 16

Reorder the terms:
2(5(-3 + -4 + 3x) + -2) = 16

Combine like terms: -3 + -4 = -7
2(5(-7 + 3x) + -2) = 16
2((-7 * 5 + 3x * 5) + -2) = 16
2((-35 + 15x) + -2) = 16

Reorder the terms:
2(-35 + -2 + 15x) = 16

Combine like terms: -35 + -2 = -37
2(-37 + 15x) = 16
(-37 * 2 + 15x * 2) = 16
(-74 + 30x) = 16

Solving
-74 + 30x = 16

Solving for variable 'x'.

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

Add '74' to each side of the equation.
-74 + 74 + 30x = 16 + 74

Combine like terms: -74 + 74 = 0
0 + 30x = 16 + 74
30x = 16 + 74

Combine like terms: 16 + 74 = 90
30x = 90

Divide each side by '30'.
x = 3

Simplifying
x = 3

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