13x-20=2(3x+4)

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Solution for 13x-20=2(3x+4) equation:


Simplifying
13x + -20 = 2(3x + 4)

Reorder the terms:
-20 + 13x = 2(3x + 4)

Reorder the terms:
-20 + 13x = 2(4 + 3x)
-20 + 13x = (4 * 2 + 3x * 2)
-20 + 13x = (8 + 6x)

Solving
-20 + 13x = 8 + 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 + 13x + -6x = 8 + 6x + -6x

Combine like terms: 13x + -6x = 7x
-20 + 7x = 8 + 6x + -6x

Combine like terms: 6x + -6x = 0
-20 + 7x = 8 + 0
-20 + 7x = 8

Add '20' to each side of the equation.
-20 + 20 + 7x = 8 + 20

Combine like terms: -20 + 20 = 0
0 + 7x = 8 + 20
7x = 8 + 20

Combine like terms: 8 + 20 = 28
7x = 28

Divide each side by '7'.
x = 4

Simplifying
x = 4

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