6-4(x-3)=2x-1

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Solution for 6-4(x-3)=2x-1 equation:


Simplifying
6 + -4(x + -3) = 2x + -1

Reorder the terms:
6 + -4(-3 + x) = 2x + -1
6 + (-3 * -4 + x * -4) = 2x + -1
6 + (12 + -4x) = 2x + -1

Combine like terms: 6 + 12 = 18
18 + -4x = 2x + -1

Reorder the terms:
18 + -4x = -1 + 2x

Solving
18 + -4x = -1 + 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.
18 + -4x + -2x = -1 + 2x + -2x

Combine like terms: -4x + -2x = -6x
18 + -6x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
18 + -6x = -1 + 0
18 + -6x = -1

Add '-18' to each side of the equation.
18 + -18 + -6x = -1 + -18

Combine like terms: 18 + -18 = 0
0 + -6x = -1 + -18
-6x = -1 + -18

Combine like terms: -1 + -18 = -19
-6x = -19

Divide each side by '-6'.
x = 3.166666667

Simplifying
x = 3.166666667

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