6-5(2x-3)=1-4x

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Solution for 6-5(2x-3)=1-4x equation:


Simplifying
6 + -5(2x + -3) = 1 + -4x

Reorder the terms:
6 + -5(-3 + 2x) = 1 + -4x
6 + (-3 * -5 + 2x * -5) = 1 + -4x
6 + (15 + -10x) = 1 + -4x

Combine like terms: 6 + 15 = 21
21 + -10x = 1 + -4x

Solving
21 + -10x = 1 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
21 + -10x + 4x = 1 + -4x + 4x

Combine like terms: -10x + 4x = -6x
21 + -6x = 1 + -4x + 4x

Combine like terms: -4x + 4x = 0
21 + -6x = 1 + 0
21 + -6x = 1

Add '-21' to each side of the equation.
21 + -21 + -6x = 1 + -21

Combine like terms: 21 + -21 = 0
0 + -6x = 1 + -21
-6x = 1 + -21

Combine like terms: 1 + -21 = -20
-6x = -20

Divide each side by '-6'.
x = 3.333333333

Simplifying
x = 3.333333333

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