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

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


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

Reorder the terms:
3(-4 + 3x) + -2(x + -5) = 6 + -1(4x + 5) + -3(2x + 1)
(-4 * 3 + 3x * 3) + -2(x + -5) = 6 + -1(4x + 5) + -3(2x + 1)
(-12 + 9x) + -2(x + -5) = 6 + -1(4x + 5) + -3(2x + 1)

Reorder the terms:
-12 + 9x + -2(-5 + x) = 6 + -1(4x + 5) + -3(2x + 1)
-12 + 9x + (-5 * -2 + x * -2) = 6 + -1(4x + 5) + -3(2x + 1)
-12 + 9x + (10 + -2x) = 6 + -1(4x + 5) + -3(2x + 1)

Reorder the terms:
-12 + 10 + 9x + -2x = 6 + -1(4x + 5) + -3(2x + 1)

Combine like terms: -12 + 10 = -2
-2 + 9x + -2x = 6 + -1(4x + 5) + -3(2x + 1)

Combine like terms: 9x + -2x = 7x
-2 + 7x = 6 + -1(4x + 5) + -3(2x + 1)

Reorder the terms:
-2 + 7x = 6 + -1(5 + 4x) + -3(2x + 1)
-2 + 7x = 6 + (5 * -1 + 4x * -1) + -3(2x + 1)
-2 + 7x = 6 + (-5 + -4x) + -3(2x + 1)

Reorder the terms:
-2 + 7x = 6 + -5 + -4x + -3(1 + 2x)
-2 + 7x = 6 + -5 + -4x + (1 * -3 + 2x * -3)
-2 + 7x = 6 + -5 + -4x + (-3 + -6x)

Reorder the terms:
-2 + 7x = 6 + -5 + -3 + -4x + -6x

Combine like terms: 6 + -5 = 1
-2 + 7x = 1 + -3 + -4x + -6x

Combine like terms: 1 + -3 = -2
-2 + 7x = -2 + -4x + -6x

Combine like terms: -4x + -6x = -10x
-2 + 7x = -2 + -10x

Add '2' to each side of the equation.
-2 + 2 + 7x = -2 + 2 + -10x

Combine like terms: -2 + 2 = 0
0 + 7x = -2 + 2 + -10x
7x = -2 + 2 + -10x

Combine like terms: -2 + 2 = 0
7x = 0 + -10x
7x = -10x

Solving
7x = -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
7x + 10x = -10x + 10x

Combine like terms: 7x + 10x = 17x
17x = -10x + 10x

Combine like terms: -10x + 10x = 0
17x = 0

Divide each side by '17'.
x = 0

Simplifying
x = 0

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