2((3(2x+5)-4))-7=3

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Solution for 2((3(2x+5)-4))-7=3 equation: 


Simplifying
2(3(2x + 5) + -4) + -7 = 3

Reorder the terms:
2(3(5 + 2x) + -4) + -7 = 3
2((5 * 3 + 2x * 3) + -4) + -7 = 3
2((15 + 6x) + -4) + -7 = 3

Reorder the terms:
2(15 + -4 + 6x) + -7 = 3

Combine like terms: 15 + -4 = 11
2(11 + 6x) + -7 = 3
(11 * 2 + 6x * 2) + -7 = 3
(22 + 12x) + -7 = 3

Reorder the terms:
22 + -7 + 12x = 3

Combine like terms: 22 + -7 = 15
15 + 12x = 3

Solving
15 + 12x = 3

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + 12x = 3 + -15

Combine like terms: 15 + -15 = 0
0 + 12x = 3 + -15
12x = 3 + -15

Combine like terms: 3 + -15 = -12
12x = -12

Divide each side by '12'.
x = -1

Simplifying
x = -1

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