3-(6x-5)=6(2x-1)-3x

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Solution for 3-(6x-5)=6(2x-1)-3x equation:


Simplifying
3 + -1(6x + -5) = 6(2x + -1) + -3x

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

Combine like terms: 3 + 5 = 8
8 + -6x = 6(2x + -1) + -3x

Reorder the terms:
8 + -6x = 6(-1 + 2x) + -3x
8 + -6x = (-1 * 6 + 2x * 6) + -3x
8 + -6x = (-6 + 12x) + -3x

Combine like terms: 12x + -3x = 9x
8 + -6x = -6 + 9x

Solving
8 + -6x = -6 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
8 + -6x + -9x = -6 + 9x + -9x

Combine like terms: -6x + -9x = -15x
8 + -15x = -6 + 9x + -9x

Combine like terms: 9x + -9x = 0
8 + -15x = -6 + 0
8 + -15x = -6

Add '-8' to each side of the equation.
8 + -8 + -15x = -6 + -8

Combine like terms: 8 + -8 = 0
0 + -15x = -6 + -8
-15x = -6 + -8

Combine like terms: -6 + -8 = -14
-15x = -14

Divide each side by '-15'.
x = 0.9333333333

Simplifying
x = 0.9333333333

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