3x-5=-8(6x+5)

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Solution for 3x-5=-8(6x+5) equation:


Simplifying
3x + -5 = -8(6x + 5)

Reorder the terms:
-5 + 3x = -8(6x + 5)

Reorder the terms:
-5 + 3x = -8(5 + 6x)
-5 + 3x = (5 * -8 + 6x * -8)
-5 + 3x = (-40 + -48x)

Solving
-5 + 3x = -40 + -48x

Solving for variable 'x'.

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

Add '48x' to each side of the equation.
-5 + 3x + 48x = -40 + -48x + 48x

Combine like terms: 3x + 48x = 51x
-5 + 51x = -40 + -48x + 48x

Combine like terms: -48x + 48x = 0
-5 + 51x = -40 + 0
-5 + 51x = -40

Add '5' to each side of the equation.
-5 + 5 + 51x = -40 + 5

Combine like terms: -5 + 5 = 0
0 + 51x = -40 + 5
51x = -40 + 5

Combine like terms: -40 + 5 = -35
51x = -35

Divide each side by '51'.
x = -0.6862745098

Simplifying
x = -0.6862745098

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