-2(7x-3)-x=2(3x-2)-3

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Solution for -2(7x-3)-x=2(3x-2)-3 equation:


Simplifying
-2(7x + -3) + -1x = 2(3x + -2) + -3

Reorder the terms:
-2(-3 + 7x) + -1x = 2(3x + -2) + -3
(-3 * -2 + 7x * -2) + -1x = 2(3x + -2) + -3
(6 + -14x) + -1x = 2(3x + -2) + -3

Combine like terms: -14x + -1x = -15x
6 + -15x = 2(3x + -2) + -3

Reorder the terms:
6 + -15x = 2(-2 + 3x) + -3
6 + -15x = (-2 * 2 + 3x * 2) + -3
6 + -15x = (-4 + 6x) + -3

Reorder the terms:
6 + -15x = -4 + -3 + 6x

Combine like terms: -4 + -3 = -7
6 + -15x = -7 + 6x

Solving
6 + -15x = -7 + 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 + -15x + -6x = -7 + 6x + -6x

Combine like terms: -15x + -6x = -21x
6 + -21x = -7 + 6x + -6x

Combine like terms: 6x + -6x = 0
6 + -21x = -7 + 0
6 + -21x = -7

Add '-6' to each side of the equation.
6 + -6 + -21x = -7 + -6

Combine like terms: 6 + -6 = 0
0 + -21x = -7 + -6
-21x = -7 + -6

Combine like terms: -7 + -6 = -13
-21x = -13

Divide each side by '-21'.
x = 0.619047619

Simplifying
x = 0.619047619

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