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

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


Simplifying
5x + -1(2x + 4) = 4x + (x + 2)

Reorder the terms:
5x + -1(4 + 2x) = 4x + (x + 2)
5x + (4 * -1 + 2x * -1) = 4x + (x + 2)
5x + (-4 + -2x) = 4x + (x + 2)

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

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

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

Remove parenthesis around (2 + x)
-4 + 3x = 4x + 2 + x

Reorder the terms:
-4 + 3x = 2 + 4x + x

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

Solving
-4 + 3x = 2 + 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.
-4 + 3x + -5x = 2 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
-4 + -2x = 2 + 0
-4 + -2x = 2

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

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

Combine like terms: 2 + 4 = 6
-2x = 6

Divide each side by '-2'.
x = -3

Simplifying
x = -3

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