3x-(5+2x)=8+(7-3x)

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Solution for 3x-(5+2x)=8+(7-3x) equation:


Simplifying
3x + -1(5 + 2x) = 8 + (7 + -3x)
3x + (5 * -1 + 2x * -1) = 8 + (7 + -3x)
3x + (-5 + -2x) = 8 + (7 + -3x)

Reorder the terms:
-5 + 3x + -2x = 8 + (7 + -3x)

Combine like terms: 3x + -2x = 1x
-5 + 1x = 8 + (7 + -3x)

Remove parenthesis around (7 + -3x)
-5 + 1x = 8 + 7 + -3x

Combine like terms: 8 + 7 = 15
-5 + 1x = 15 + -3x

Solving
-5 + 1x = 15 + -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.
-5 + 1x + 3x = 15 + -3x + 3x

Combine like terms: 1x + 3x = 4x
-5 + 4x = 15 + -3x + 3x

Combine like terms: -3x + 3x = 0
-5 + 4x = 15 + 0
-5 + 4x = 15

Add '5' to each side of the equation.
-5 + 5 + 4x = 15 + 5

Combine like terms: -5 + 5 = 0
0 + 4x = 15 + 5
4x = 15 + 5

Combine like terms: 15 + 5 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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