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

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


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

Reorder the terms:
-6(-4 + x) = 5x + 1 + -2x
(-4 * -6 + x * -6) = 5x + 1 + -2x
(24 + -6x) = 5x + 1 + -2x

Reorder the terms:
24 + -6x = 1 + 5x + -2x

Combine like terms: 5x + -2x = 3x
24 + -6x = 1 + 3x

Solving
24 + -6x = 1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
24 + -6x + -3x = 1 + 3x + -3x

Combine like terms: -6x + -3x = -9x
24 + -9x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
24 + -9x = 1 + 0
24 + -9x = 1

Add '-24' to each side of the equation.
24 + -24 + -9x = 1 + -24

Combine like terms: 24 + -24 = 0
0 + -9x = 1 + -24
-9x = 1 + -24

Combine like terms: 1 + -24 = -23
-9x = -23

Divide each side by '-9'.
x = 2.555555556

Simplifying
x = 2.555555556

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