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

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


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

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

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

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

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

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

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

Reorder the terms:
-2 + 5x = 2x + 15 + -5x + 4(-1 + 3x)
-2 + 5x = 2x + 15 + -5x + (-1 * 4 + 3x * 4)
-2 + 5x = 2x + 15 + -5x + (-4 + 12x)

Reorder the terms:
-2 + 5x = 15 + -4 + 2x + -5x + 12x

Combine like terms: 15 + -4 = 11
-2 + 5x = 11 + 2x + -5x + 12x

Combine like terms: 2x + -5x = -3x
-2 + 5x = 11 + -3x + 12x

Combine like terms: -3x + 12x = 9x
-2 + 5x = 11 + 9x

Solving
-2 + 5x = 11 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-2 + 5x + -9x = 11 + 9x + -9x

Combine like terms: 5x + -9x = -4x
-2 + -4x = 11 + 9x + -9x

Combine like terms: 9x + -9x = 0
-2 + -4x = 11 + 0
-2 + -4x = 11

Add '2' to each side of the equation.
-2 + 2 + -4x = 11 + 2

Combine like terms: -2 + 2 = 0
0 + -4x = 11 + 2
-4x = 11 + 2

Combine like terms: 11 + 2 = 13
-4x = 13

Divide each side by '-4'.
x = -3.25

Simplifying
x = -3.25

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