8(6x+2)=5(x-10)

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Solution for 8(6x+2)=5(x-10) equation:


Simplifying
8(6x + 2) = 5(x + -10)

Reorder the terms:
8(2 + 6x) = 5(x + -10)
(2 * 8 + 6x * 8) = 5(x + -10)
(16 + 48x) = 5(x + -10)

Reorder the terms:
16 + 48x = 5(-10 + x)
16 + 48x = (-10 * 5 + x * 5)
16 + 48x = (-50 + 5x)

Solving
16 + 48x = -50 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
16 + 48x + -5x = -50 + 5x + -5x

Combine like terms: 48x + -5x = 43x
16 + 43x = -50 + 5x + -5x

Combine like terms: 5x + -5x = 0
16 + 43x = -50 + 0
16 + 43x = -50

Add '-16' to each side of the equation.
16 + -16 + 43x = -50 + -16

Combine like terms: 16 + -16 = 0
0 + 43x = -50 + -16
43x = -50 + -16

Combine like terms: -50 + -16 = -66
43x = -66

Divide each side by '43'.
x = -1.534883721

Simplifying
x = -1.534883721

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