15-[2x-4(3-2x)]=-3

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Solution for 15-[2x-4(3-2x)]=-3 equation:


Simplifying
15 + -1[2x + -4(3 + -2x)] = -3
15 + -1[2x + (3 * -4 + -2x * -4)] = -3
15 + -1[2x + (-12 + 8x)] = -3

Reorder the terms:
15 + -1[-12 + 2x + 8x] = -3

Combine like terms: 2x + 8x = 10x
15 + -1[-12 + 10x] = -3
15 + [-12 * -1 + 10x * -1] = -3
15 + [12 + -10x] = -3

Combine like terms: 15 + 12 = 27
27 + -10x = -3

Solving
27 + -10x = -3

Solving for variable 'x'.

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

Add '-27' to each side of the equation.
27 + -27 + -10x = -3 + -27

Combine like terms: 27 + -27 = 0
0 + -10x = -3 + -27
-10x = -3 + -27

Combine like terms: -3 + -27 = -30
-10x = -30

Divide each side by '-10'.
x = 3

Simplifying
x = 3

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