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

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


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

Reorder the terms:
2(5 + 4X) + -3(X + 3) = 5(2X + -1) + 3(x + -2)
(5 * 2 + 4X * 2) + -3(X + 3) = 5(2X + -1) + 3(x + -2)
(10 + 8X) + -3(X + 3) = 5(2X + -1) + 3(x + -2)

Reorder the terms:
10 + 8X + -3(3 + X) = 5(2X + -1) + 3(x + -2)
10 + 8X + (3 * -3 + X * -3) = 5(2X + -1) + 3(x + -2)
10 + 8X + (-9 + -3X) = 5(2X + -1) + 3(x + -2)

Reorder the terms:
10 + -9 + 8X + -3X = 5(2X + -1) + 3(x + -2)

Combine like terms: 10 + -9 = 1
1 + 8X + -3X = 5(2X + -1) + 3(x + -2)

Combine like terms: 8X + -3X = 5X
1 + 5X = 5(2X + -1) + 3(x + -2)

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

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

Reorder the terms:
1 + 5X = -5 + -6 + 10X + 3x

Combine like terms: -5 + -6 = -11
1 + 5X = -11 + 10X + 3x

Solving
1 + 5X = -11 + 10X + 3x

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.
1 + 5X + -10X = -11 + 10X + -10X + 3x

Combine like terms: 5X + -10X = -5X
1 + -5X = -11 + 10X + -10X + 3x

Combine like terms: 10X + -10X = 0
1 + -5X = -11 + 0 + 3x
1 + -5X = -11 + 3x

Add '-1' to each side of the equation.
1 + -1 + -5X = -11 + -1 + 3x

Combine like terms: 1 + -1 = 0
0 + -5X = -11 + -1 + 3x
-5X = -11 + -1 + 3x

Combine like terms: -11 + -1 = -12
-5X = -12 + 3x

Divide each side by '-5'.
X = 2.4 + -0.6x

Simplifying
X = 2.4 + -0.6x

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