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

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


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

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

Reorder the terms:
2[-6 + 3x + -2x] + -5 = -4

Combine like terms: 3x + -2x = 1x
2[-6 + 1x] + -5 = -4
[-6 * 2 + 1x * 2] + -5 = -4
[-12 + 2x] + -5 = -4

Reorder the terms:
-12 + -5 + 2x = -4

Combine like terms: -12 + -5 = -17
-17 + 2x = -4

Solving
-17 + 2x = -4

Solving for variable 'x'.

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

Add '17' to each side of the equation.
-17 + 17 + 2x = -4 + 17

Combine like terms: -17 + 17 = 0
0 + 2x = -4 + 17
2x = -4 + 17

Combine like terms: -4 + 17 = 13
2x = 13

Divide each side by '2'.
x = 6.5

Simplifying
x = 6.5

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