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

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


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

Reorder the terms:
-4(-1 + 5x) = 6(-1x + 6)
(-1 * -4 + 5x * -4) = 6(-1x + 6)
(4 + -20x) = 6(-1x + 6)

Reorder the terms:
4 + -20x = 6(6 + -1x)
4 + -20x = (6 * 6 + -1x * 6)
4 + -20x = (36 + -6x)

Solving
4 + -20x = 36 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
4 + -20x + 6x = 36 + -6x + 6x

Combine like terms: -20x + 6x = -14x
4 + -14x = 36 + -6x + 6x

Combine like terms: -6x + 6x = 0
4 + -14x = 36 + 0
4 + -14x = 36

Add '-4' to each side of the equation.
4 + -4 + -14x = 36 + -4

Combine like terms: 4 + -4 = 0
0 + -14x = 36 + -4
-14x = 36 + -4

Combine like terms: 36 + -4 = 32
-14x = 32

Divide each side by '-14'.
x = -2.285714286

Simplifying
x = -2.285714286

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