4(X-5)+2X=9X-2(4+2X)

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Solution for 4(X-5)+2X=9X-2(4+2X) equation: 


Simplifying
4(X + -5) + 2X = 9X + -2(4 + 2X)

Reorder the terms:
4(-5 + X) + 2X = 9X + -2(4 + 2X)
(-5 * 4 + X * 4) + 2X = 9X + -2(4 + 2X)
(-20 + 4X) + 2X = 9X + -2(4 + 2X)

Combine like terms: 4X + 2X = 6X
-20 + 6X = 9X + -2(4 + 2X)
-20 + 6X = 9X + (4 * -2 + 2X * -2)
-20 + 6X = 9X + (-8 + -4X)

Reorder the terms:
-20 + 6X = -8 + 9X + -4X

Combine like terms: 9X + -4X = 5X
-20 + 6X = -8 + 5X

Solving
-20 + 6X = -8 + 5X

Solving for variable 'X'.

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

Add '-5X' to each side of the equation.
-20 + 6X + -5X = -8 + 5X + -5X

Combine like terms: 6X + -5X = 1X
-20 + 1X = -8 + 5X + -5X

Combine like terms: 5X + -5X = 0
-20 + 1X = -8 + 0
-20 + 1X = -8

Add '20' to each side of the equation.
-20 + 20 + 1X = -8 + 20

Combine like terms: -20 + 20 = 0
0 + 1X = -8 + 20
1X = -8 + 20

Combine like terms: -8 + 20 = 12
1X = 12

Divide each side by '1'.
X = 12

Simplifying
X = 12

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