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

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


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

Reorder the terms:
3(2 + x) = 5x + -1(x + -2)
(2 * 3 + x * 3) = 5x + -1(x + -2)
(6 + 3x) = 5x + -1(x + -2)

Reorder the terms:
6 + 3x = 5x + -1(-2 + x)
6 + 3x = 5x + (-2 * -1 + x * -1)
6 + 3x = 5x + (2 + -1x)

Reorder the terms:
6 + 3x = 2 + 5x + -1x

Combine like terms: 5x + -1x = 4x
6 + 3x = 2 + 4x

Solving
6 + 3x = 2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6 + 3x + -4x = 2 + 4x + -4x

Combine like terms: 3x + -4x = -1x
6 + -1x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -1x = 2 + 0
6 + -1x = 2

Add '-6' to each side of the equation.
6 + -6 + -1x = 2 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 2 + -6
-1x = 2 + -6

Combine like terms: 2 + -6 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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