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

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


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

Reorder the terms:
3(-3 + -2x) + -4 = -1(-3x + -5) + -2
(-3 * 3 + -2x * 3) + -4 = -1(-3x + -5) + -2
(-9 + -6x) + -4 = -1(-3x + -5) + -2

Reorder the terms:
-9 + -4 + -6x = -1(-3x + -5) + -2

Combine like terms: -9 + -4 = -13
-13 + -6x = -1(-3x + -5) + -2

Reorder the terms:
-13 + -6x = -1(-5 + -3x) + -2
-13 + -6x = (-5 * -1 + -3x * -1) + -2
-13 + -6x = (5 + 3x) + -2

Reorder the terms:
-13 + -6x = 5 + -2 + 3x

Combine like terms: 5 + -2 = 3
-13 + -6x = 3 + 3x

Solving
-13 + -6x = 3 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-13 + -6x + -3x = 3 + 3x + -3x

Combine like terms: -6x + -3x = -9x
-13 + -9x = 3 + 3x + -3x

Combine like terms: 3x + -3x = 0
-13 + -9x = 3 + 0
-13 + -9x = 3

Add '13' to each side of the equation.
-13 + 13 + -9x = 3 + 13

Combine like terms: -13 + 13 = 0
0 + -9x = 3 + 13
-9x = 3 + 13

Combine like terms: 3 + 13 = 16
-9x = 16

Divide each side by '-9'.
x = -1.777777778

Simplifying
x = -1.777777778

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