x-4=2(3x+13)

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


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

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

Reorder the terms:
-4 + x = 2(13 + 3x)
-4 + x = (13 * 2 + 3x * 2)
-4 + x = (26 + 6x)

Solving
-4 + x = 26 + 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.
-4 + x + -6x = 26 + 6x + -6x

Combine like terms: x + -6x = -5x
-4 + -5x = 26 + 6x + -6x

Combine like terms: 6x + -6x = 0
-4 + -5x = 26 + 0
-4 + -5x = 26

Add '4' to each side of the equation.
-4 + 4 + -5x = 26 + 4

Combine like terms: -4 + 4 = 0
0 + -5x = 26 + 4
-5x = 26 + 4

Combine like terms: 26 + 4 = 30
-5x = 30

Divide each side by '-5'.
x = -6

Simplifying
x = -6

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