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

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


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

Reorder the terms:
2(-5 + 3x) + 1 = (2x + -1) + -3(x + -2)
(-5 * 2 + 3x * 2) + 1 = (2x + -1) + -3(x + -2)
(-10 + 6x) + 1 = (2x + -1) + -3(x + -2)

Reorder the terms:
-10 + 1 + 6x = (2x + -1) + -3(x + -2)

Combine like terms: -10 + 1 = -9
-9 + 6x = (2x + -1) + -3(x + -2)

Reorder the terms:
-9 + 6x = (-1 + 2x) + -3(x + -2)

Remove parenthesis around (-1 + 2x)
-9 + 6x = -1 + 2x + -3(x + -2)

Reorder the terms:
-9 + 6x = -1 + 2x + -3(-2 + x)
-9 + 6x = -1 + 2x + (-2 * -3 + x * -3)
-9 + 6x = -1 + 2x + (6 + -3x)

Reorder the terms:
-9 + 6x = -1 + 6 + 2x + -3x

Combine like terms: -1 + 6 = 5
-9 + 6x = 5 + 2x + -3x

Combine like terms: 2x + -3x = -1x
-9 + 6x = 5 + -1x

Solving
-9 + 6x = 5 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-9 + 6x + x = 5 + -1x + x

Combine like terms: 6x + x = 7x
-9 + 7x = 5 + -1x + x

Combine like terms: -1x + x = 0
-9 + 7x = 5 + 0
-9 + 7x = 5

Add '9' to each side of the equation.
-9 + 9 + 7x = 5 + 9

Combine like terms: -9 + 9 = 0
0 + 7x = 5 + 9
7x = 5 + 9

Combine like terms: 5 + 9 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2

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