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

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


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

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

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

Combine like terms: 2x + -9x = -7x
6 + -7x = 2(3x + -1) + 3

Reorder the terms:
6 + -7x = 2(-1 + 3x) + 3
6 + -7x = (-1 * 2 + 3x * 2) + 3
6 + -7x = (-2 + 6x) + 3

Reorder the terms:
6 + -7x = -2 + 3 + 6x

Combine like terms: -2 + 3 = 1
6 + -7x = 1 + 6x

Solving
6 + -7x = 1 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
6 + -7x + -6x = 1 + 6x + -6x

Combine like terms: -7x + -6x = -13x
6 + -13x = 1 + 6x + -6x

Combine like terms: 6x + -6x = 0
6 + -13x = 1 + 0
6 + -13x = 1

Add '-6' to each side of the equation.
6 + -6 + -13x = 1 + -6

Combine like terms: 6 + -6 = 0
0 + -13x = 1 + -6
-13x = 1 + -6

Combine like terms: 1 + -6 = -5
-13x = -5

Divide each side by '-13'.
x = 0.3846153846

Simplifying
x = 0.3846153846

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