5x-4=x+2(x+4)

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


Simplifying
5x + -4 = x + 2(x + 4)

Reorder the terms:
-4 + 5x = x + 2(x + 4)

Reorder the terms:
-4 + 5x = x + 2(4 + x)
-4 + 5x = x + (4 * 2 + x * 2)
-4 + 5x = x + (8 + 2x)

Reorder the terms:
-4 + 5x = 8 + x + 2x

Combine like terms: x + 2x = 3x
-4 + 5x = 8 + 3x

Solving
-4 + 5x = 8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-4 + 5x + -3x = 8 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-4 + 2x = 8 + 3x + -3x

Combine like terms: 3x + -3x = 0
-4 + 2x = 8 + 0
-4 + 2x = 8

Add '4' to each side of the equation.
-4 + 4 + 2x = 8 + 4

Combine like terms: -4 + 4 = 0
0 + 2x = 8 + 4
2x = 8 + 4

Combine like terms: 8 + 4 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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