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

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


Simplifying
3x + -5 + -2(6 + -1x) = 5 + 3(x + -2)
3x + -5 + (6 * -2 + -1x * -2) = 5 + 3(x + -2)
3x + -5 + (-12 + 2x) = 5 + 3(x + -2)

Reorder the terms:
-5 + -12 + 3x + 2x = 5 + 3(x + -2)

Combine like terms: -5 + -12 = -17
-17 + 3x + 2x = 5 + 3(x + -2)

Combine like terms: 3x + 2x = 5x
-17 + 5x = 5 + 3(x + -2)

Reorder the terms:
-17 + 5x = 5 + 3(-2 + x)
-17 + 5x = 5 + (-2 * 3 + x * 3)
-17 + 5x = 5 + (-6 + 3x)

Combine like terms: 5 + -6 = -1
-17 + 5x = -1 + 3x

Solving
-17 + 5x = -1 + 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.
-17 + 5x + -3x = -1 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-17 + 2x = -1 + 3x + -3x

Combine like terms: 3x + -3x = 0
-17 + 2x = -1 + 0
-17 + 2x = -1

Add '17' to each side of the equation.
-17 + 17 + 2x = -1 + 17

Combine like terms: -17 + 17 = 0
0 + 2x = -1 + 17
2x = -1 + 17

Combine like terms: -1 + 17 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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