3(5(x+4)-2)=x-2

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


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

Reorder the terms:
3(5(4 + x) + -2) = x + -2
3((4 * 5 + x * 5) + -2) = x + -2
3((20 + 5x) + -2) = x + -2

Reorder the terms:
3(20 + -2 + 5x) = x + -2

Combine like terms: 20 + -2 = 18
3(18 + 5x) = x + -2
(18 * 3 + 5x * 3) = x + -2
(54 + 15x) = x + -2

Reorder the terms:
54 + 15x = -2 + x

Solving
54 + 15x = -2 + 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.
54 + 15x + -1x = -2 + x + -1x

Combine like terms: 15x + -1x = 14x
54 + 14x = -2 + x + -1x

Combine like terms: x + -1x = 0
54 + 14x = -2 + 0
54 + 14x = -2

Add '-54' to each side of the equation.
54 + -54 + 14x = -2 + -54

Combine like terms: 54 + -54 = 0
0 + 14x = -2 + -54
14x = -2 + -54

Combine like terms: -2 + -54 = -56
14x = -56

Divide each side by '14'.
x = -4

Simplifying
x = -4

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