3(2x-5)-4(x-1)=(-3x-6)-3(x+3)

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Solution for 3(2x-5)-4(x-1)=(-3x-6)-3(x+3) equation: 


Simplifying
3(2x + -5) + -4(x + -1) = (-3x + -6) + -3(x + 3)

Reorder the terms:
3(-5 + 2x) + -4(x + -1) = (-3x + -6) + -3(x + 3)
(-5 * 3 + 2x * 3) + -4(x + -1) = (-3x + -6) + -3(x + 3)
(-15 + 6x) + -4(x + -1) = (-3x + -6) + -3(x + 3)

Reorder the terms:
-15 + 6x + -4(-1 + x) = (-3x + -6) + -3(x + 3)
-15 + 6x + (-1 * -4 + x * -4) = (-3x + -6) + -3(x + 3)
-15 + 6x + (4 + -4x) = (-3x + -6) + -3(x + 3)

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

Combine like terms: -15 + 4 = -11
-11 + 6x + -4x = (-3x + -6) + -3(x + 3)

Combine like terms: 6x + -4x = 2x
-11 + 2x = (-3x + -6) + -3(x + 3)

Reorder the terms:
-11 + 2x = (-6 + -3x) + -3(x + 3)

Remove parenthesis around (-6 + -3x)
-11 + 2x = -6 + -3x + -3(x + 3)

Reorder the terms:
-11 + 2x = -6 + -3x + -3(3 + x)
-11 + 2x = -6 + -3x + (3 * -3 + x * -3)
-11 + 2x = -6 + -3x + (-9 + -3x)

Reorder the terms:
-11 + 2x = -6 + -9 + -3x + -3x

Combine like terms: -6 + -9 = -15
-11 + 2x = -15 + -3x + -3x

Combine like terms: -3x + -3x = -6x
-11 + 2x = -15 + -6x

Solving
-11 + 2x = -15 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-11 + 2x + 6x = -15 + -6x + 6x

Combine like terms: 2x + 6x = 8x
-11 + 8x = -15 + -6x + 6x

Combine like terms: -6x + 6x = 0
-11 + 8x = -15 + 0
-11 + 8x = -15

Add '11' to each side of the equation.
-11 + 11 + 8x = -15 + 11

Combine like terms: -11 + 11 = 0
0 + 8x = -15 + 11
8x = -15 + 11

Combine like terms: -15 + 11 = -4
8x = -4

Divide each side by '8'.
x = -0.5

Simplifying
x = -0.5

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