2(3x-5)+3(X+2)-4x-8=2(x-3)-4(x+3)+5x+48

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Solution for 2(3x-5)+3(X+2)-4x-8=2(x-3)-4(x+3)+5x+48 equation: 


Simplifying
2(3x + -5) + 3(X + 2) + -4x + -8 = 2(x + -3) + -4(x + 3) + 5x + 48

Reorder the terms:
2(-5 + 3x) + 3(X + 2) + -4x + -8 = 2(x + -3) + -4(x + 3) + 5x + 48
(-5 * 2 + 3x * 2) + 3(X + 2) + -4x + -8 = 2(x + -3) + -4(x + 3) + 5x + 48
(-10 + 6x) + 3(X + 2) + -4x + -8 = 2(x + -3) + -4(x + 3) + 5x + 48

Reorder the terms:
-10 + 6x + 3(2 + X) + -4x + -8 = 2(x + -3) + -4(x + 3) + 5x + 48
-10 + 6x + (2 * 3 + X * 3) + -4x + -8 = 2(x + -3) + -4(x + 3) + 5x + 48
-10 + 6x + (6 + 3X) + -4x + -8 = 2(x + -3) + -4(x + 3) + 5x + 48

Reorder the terms:
-10 + 6 + -8 + 3X + 6x + -4x = 2(x + -3) + -4(x + 3) + 5x + 48

Combine like terms: -10 + 6 = -4
-4 + -8 + 3X + 6x + -4x = 2(x + -3) + -4(x + 3) + 5x + 48

Combine like terms: -4 + -8 = -12
-12 + 3X + 6x + -4x = 2(x + -3) + -4(x + 3) + 5x + 48

Combine like terms: 6x + -4x = 2x
-12 + 3X + 2x = 2(x + -3) + -4(x + 3) + 5x + 48

Reorder the terms:
-12 + 3X + 2x = 2(-3 + x) + -4(x + 3) + 5x + 48
-12 + 3X + 2x = (-3 * 2 + x * 2) + -4(x + 3) + 5x + 48
-12 + 3X + 2x = (-6 + 2x) + -4(x + 3) + 5x + 48

Reorder the terms:
-12 + 3X + 2x = -6 + 2x + -4(3 + x) + 5x + 48
-12 + 3X + 2x = -6 + 2x + (3 * -4 + x * -4) + 5x + 48
-12 + 3X + 2x = -6 + 2x + (-12 + -4x) + 5x + 48

Reorder the terms:
-12 + 3X + 2x = -6 + -12 + 48 + 2x + -4x + 5x

Combine like terms: -6 + -12 = -18
-12 + 3X + 2x = -18 + 48 + 2x + -4x + 5x

Combine like terms: -18 + 48 = 30
-12 + 3X + 2x = 30 + 2x + -4x + 5x

Combine like terms: 2x + -4x = -2x
-12 + 3X + 2x = 30 + -2x + 5x

Combine like terms: -2x + 5x = 3x
-12 + 3X + 2x = 30 + 3x

Solving
-12 + 3X + 2x = 30 + 3x

Solving for variable 'X'.

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

Add '12' to each side of the equation.
-12 + 3X + 12 + 2x = 30 + 12 + 3x

Reorder the terms:
-12 + 12 + 3X + 2x = 30 + 12 + 3x

Combine like terms: -12 + 12 = 0
0 + 3X + 2x = 30 + 12 + 3x
3X + 2x = 30 + 12 + 3x

Combine like terms: 30 + 12 = 42
3X + 2x = 42 + 3x

Add '-2x' to each side of the equation.
3X + 2x + -2x = 42 + 3x + -2x

Combine like terms: 2x + -2x = 0
3X + 0 = 42 + 3x + -2x
3X = 42 + 3x + -2x

Combine like terms: 3x + -2x = 1x
3X = 42 + 1x

Divide each side by '3'.
X = 14 + 0.3333333333x

Simplifying
X = 14 + 0.3333333333x

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