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

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


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

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

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

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

Solving
8 + -6x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
8 + -6x + -2x = -6 + 2x + -2x

Combine like terms: -6x + -2x = -8x
8 + -8x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
8 + -8x = -6 + 0
8 + -8x = -6

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

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

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

Divide each side by '-8'.
x = 1.75

Simplifying
x = 1.75

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