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

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


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

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

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

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

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

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

Solving
-2 + 8x = 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.
-2 + 8x + -6x = 8 + 6x + -6x

Combine like terms: 8x + -6x = 2x
-2 + 2x = 8 + 6x + -6x

Combine like terms: 6x + -6x = 0
-2 + 2x = 8 + 0
-2 + 2x = 8

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

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

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

Divide each side by '2'.
x = 5

Simplifying
x = 5

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