(3x+6)+4=(5x-2)+4

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Solution for (3x+6)+4=(5x-2)+4 equation:


Simplifying
(3x + 6) + 4 = (5x + -2) + 4

Reorder the terms:
(6 + 3x) + 4 = (5x + -2) + 4

Remove parenthesis around (6 + 3x)
6 + 3x + 4 = (5x + -2) + 4

Reorder the terms:
6 + 4 + 3x = (5x + -2) + 4

Combine like terms: 6 + 4 = 10
10 + 3x = (5x + -2) + 4

Reorder the terms:
10 + 3x = (-2 + 5x) + 4

Remove parenthesis around (-2 + 5x)
10 + 3x = -2 + 5x + 4

Reorder the terms:
10 + 3x = -2 + 4 + 5x

Combine like terms: -2 + 4 = 2
10 + 3x = 2 + 5x

Solving
10 + 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.
10 + 3x + -5x = 2 + 5x + -5x

Combine like terms: 3x + -5x = -2x
10 + -2x = 2 + 5x + -5x

Combine like terms: 5x + -5x = 0
10 + -2x = 2 + 0
10 + -2x = 2

Add '-10' to each side of the equation.
10 + -10 + -2x = 2 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = 2 + -10
-2x = 2 + -10

Combine like terms: 2 + -10 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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