5(3-x)=2(8x-1)

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Solution for 5(3-x)=2(8x-1) equation:


Simplifying
5(3 + -1x) = 2(8x + -1)
(3 * 5 + -1x * 5) = 2(8x + -1)
(15 + -5x) = 2(8x + -1)

Reorder the terms:
15 + -5x = 2(-1 + 8x)
15 + -5x = (-1 * 2 + 8x * 2)
15 + -5x = (-2 + 16x)

Solving
15 + -5x = -2 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
15 + -5x + -16x = -2 + 16x + -16x

Combine like terms: -5x + -16x = -21x
15 + -21x = -2 + 16x + -16x

Combine like terms: 16x + -16x = 0
15 + -21x = -2 + 0
15 + -21x = -2

Add '-15' to each side of the equation.
15 + -15 + -21x = -2 + -15

Combine like terms: 15 + -15 = 0
0 + -21x = -2 + -15
-21x = -2 + -15

Combine like terms: -2 + -15 = -17
-21x = -17

Divide each side by '-21'.
x = 0.8095238095

Simplifying
x = 0.8095238095

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