4(2X+8)-3X-20=2(3X+5)-2-5

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Solution for 4(2X+8)-3X-20=2(3X+5)-2-5 equation:


Simplifying
4(2X + 8) + -3X + -20 = 2(3X + 5) + -2 + -5

Reorder the terms:
4(8 + 2X) + -3X + -20 = 2(3X + 5) + -2 + -5
(8 * 4 + 2X * 4) + -3X + -20 = 2(3X + 5) + -2 + -5
(32 + 8X) + -3X + -20 = 2(3X + 5) + -2 + -5

Reorder the terms:
32 + -20 + 8X + -3X = 2(3X + 5) + -2 + -5

Combine like terms: 32 + -20 = 12
12 + 8X + -3X = 2(3X + 5) + -2 + -5

Combine like terms: 8X + -3X = 5X
12 + 5X = 2(3X + 5) + -2 + -5

Reorder the terms:
12 + 5X = 2(5 + 3X) + -2 + -5
12 + 5X = (5 * 2 + 3X * 2) + -2 + -5
12 + 5X = (10 + 6X) + -2 + -5

Reorder the terms:
12 + 5X = 10 + -2 + -5 + 6X

Combine like terms: 10 + -2 = 8
12 + 5X = 8 + -5 + 6X

Combine like terms: 8 + -5 = 3
12 + 5X = 3 + 6X

Solving
12 + 5X = 3 + 6X

Solving for variable 'X'.

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

Add '-6X' to each side of the equation.
12 + 5X + -6X = 3 + 6X + -6X

Combine like terms: 5X + -6X = -1X
12 + -1X = 3 + 6X + -6X

Combine like terms: 6X + -6X = 0
12 + -1X = 3 + 0
12 + -1X = 3

Add '-12' to each side of the equation.
12 + -12 + -1X = 3 + -12

Combine like terms: 12 + -12 = 0
0 + -1X = 3 + -12
-1X = 3 + -12

Combine like terms: 3 + -12 = -9
-1X = -9

Divide each side by '-1'.
X = 9

Simplifying
X = 9

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