28+2(3x+2)-4(x-3)=5(x-2)-3(3-2x)

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Solution for 28+2(3x+2)-4(x-3)=5(x-2)-3(3-2x) equation: 


Simplifying
28 + 2(3x + 2) + -4(x + -3) = 5(x + -2) + -3(3 + -2x)

Reorder the terms:
28 + 2(2 + 3x) + -4(x + -3) = 5(x + -2) + -3(3 + -2x)
28 + (2 * 2 + 3x * 2) + -4(x + -3) = 5(x + -2) + -3(3 + -2x)
28 + (4 + 6x) + -4(x + -3) = 5(x + -2) + -3(3 + -2x)

Reorder the terms:
28 + 4 + 6x + -4(-3 + x) = 5(x + -2) + -3(3 + -2x)
28 + 4 + 6x + (-3 * -4 + x * -4) = 5(x + -2) + -3(3 + -2x)
28 + 4 + 6x + (12 + -4x) = 5(x + -2) + -3(3 + -2x)

Reorder the terms:
28 + 4 + 12 + 6x + -4x = 5(x + -2) + -3(3 + -2x)

Combine like terms: 28 + 4 = 32
32 + 12 + 6x + -4x = 5(x + -2) + -3(3 + -2x)

Combine like terms: 32 + 12 = 44
44 + 6x + -4x = 5(x + -2) + -3(3 + -2x)

Combine like terms: 6x + -4x = 2x
44 + 2x = 5(x + -2) + -3(3 + -2x)

Reorder the terms:
44 + 2x = 5(-2 + x) + -3(3 + -2x)
44 + 2x = (-2 * 5 + x * 5) + -3(3 + -2x)
44 + 2x = (-10 + 5x) + -3(3 + -2x)
44 + 2x = -10 + 5x + (3 * -3 + -2x * -3)
44 + 2x = -10 + 5x + (-9 + 6x)

Reorder the terms:
44 + 2x = -10 + -9 + 5x + 6x

Combine like terms: -10 + -9 = -19
44 + 2x = -19 + 5x + 6x

Combine like terms: 5x + 6x = 11x
44 + 2x = -19 + 11x

Solving
44 + 2x = -19 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
44 + 2x + -11x = -19 + 11x + -11x

Combine like terms: 2x + -11x = -9x
44 + -9x = -19 + 11x + -11x

Combine like terms: 11x + -11x = 0
44 + -9x = -19 + 0
44 + -9x = -19

Add '-44' to each side of the equation.
44 + -44 + -9x = -19 + -44

Combine like terms: 44 + -44 = 0
0 + -9x = -19 + -44
-9x = -19 + -44

Combine like terms: -19 + -44 = -63
-9x = -63

Divide each side by '-9'.
x = 7

Simplifying
x = 7

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