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

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Solution for 3(2x-1)=5-(3x-2) equation: 


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

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

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

Combine like terms: 5 + 2 = 7
-3 + 6x = 7 + -3x

Solving
-3 + 6x = 7 + -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.
-3 + 6x + 3x = 7 + -3x + 3x

Combine like terms: 6x + 3x = 9x
-3 + 9x = 7 + -3x + 3x

Combine like terms: -3x + 3x = 0
-3 + 9x = 7 + 0
-3 + 9x = 7

Add '3' to each side of the equation.
-3 + 3 + 9x = 7 + 3

Combine like terms: -3 + 3 = 0
0 + 9x = 7 + 3
9x = 7 + 3

Combine like terms: 7 + 3 = 10
9x = 10

Divide each side by '9'.
x = 1.111111111

Simplifying
x = 1.111111111

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