5(2X-4)+6X=3(2X+9)+13

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Solution for 5(2X-4)+6X=3(2X+9)+13 equation:


Simplifying
5(2X + -4) + 6X = 3(2X + 9) + 13

Reorder the terms:
5(-4 + 2X) + 6X = 3(2X + 9) + 13
(-4 * 5 + 2X * 5) + 6X = 3(2X + 9) + 13
(-20 + 10X) + 6X = 3(2X + 9) + 13

Combine like terms: 10X + 6X = 16X
-20 + 16X = 3(2X + 9) + 13

Reorder the terms:
-20 + 16X = 3(9 + 2X) + 13
-20 + 16X = (9 * 3 + 2X * 3) + 13
-20 + 16X = (27 + 6X) + 13

Reorder the terms:
-20 + 16X = 27 + 13 + 6X

Combine like terms: 27 + 13 = 40
-20 + 16X = 40 + 6X

Solving
-20 + 16X = 40 + 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.
-20 + 16X + -6X = 40 + 6X + -6X

Combine like terms: 16X + -6X = 10X
-20 + 10X = 40 + 6X + -6X

Combine like terms: 6X + -6X = 0
-20 + 10X = 40 + 0
-20 + 10X = 40

Add '20' to each side of the equation.
-20 + 20 + 10X = 40 + 20

Combine like terms: -20 + 20 = 0
0 + 10X = 40 + 20
10X = 40 + 20

Combine like terms: 40 + 20 = 60
10X = 60

Divide each side by '10'.
X = 6

Simplifying
X = 6

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