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

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


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

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

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

Reorder the terms:
6 + -6 + 6x + -10x = 4(3x + -4) + -3(3x + -1) + -1

Combine like terms: 6 + -6 = 0
0 + 6x + -10x = 4(3x + -4) + -3(3x + -1) + -1
6x + -10x = 4(3x + -4) + -3(3x + -1) + -1

Combine like terms: 6x + -10x = -4x
-4x = 4(3x + -4) + -3(3x + -1) + -1

Reorder the terms:
-4x = 4(-4 + 3x) + -3(3x + -1) + -1
-4x = (-4 * 4 + 3x * 4) + -3(3x + -1) + -1
-4x = (-16 + 12x) + -3(3x + -1) + -1

Reorder the terms:
-4x = -16 + 12x + -3(-1 + 3x) + -1
-4x = -16 + 12x + (-1 * -3 + 3x * -3) + -1
-4x = -16 + 12x + (3 + -9x) + -1

Reorder the terms:
-4x = -16 + 3 + -1 + 12x + -9x

Combine like terms: -16 + 3 = -13
-4x = -13 + -1 + 12x + -9x

Combine like terms: -13 + -1 = -14
-4x = -14 + 12x + -9x

Combine like terms: 12x + -9x = 3x
-4x = -14 + 3x

Solving
-4x = -14 + 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.
-4x + -3x = -14 + 3x + -3x

Combine like terms: -4x + -3x = -7x
-7x = -14 + 3x + -3x

Combine like terms: 3x + -3x = 0
-7x = -14 + 0
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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