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

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


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

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

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

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

Reorder the terms:
6 + -1x = 5 + -2(-3 + 2x)
6 + -1x = 5 + (-3 * -2 + 2x * -2)
6 + -1x = 5 + (6 + -4x)

Combine like terms: 5 + 6 = 11
6 + -1x = 11 + -4x

Solving
6 + -1x = 11 + -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 + -1x + 4x = 11 + -4x + 4x

Combine like terms: -1x + 4x = 3x
6 + 3x = 11 + -4x + 4x

Combine like terms: -4x + 4x = 0
6 + 3x = 11 + 0
6 + 3x = 11

Add '-6' to each side of the equation.
6 + -6 + 3x = 11 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = 11 + -6
3x = 11 + -6

Combine like terms: 11 + -6 = 5
3x = 5

Divide each side by '3'.
x = 1.666666667

Simplifying
x = 1.666666667

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