5-4(x-8)=15(4x-1)

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Solution for 5-4(x-8)=15(4x-1) equation:


Simplifying
5 + -4(x + -8) = 15(4x + -1)

Reorder the terms:
5 + -4(-8 + x) = 15(4x + -1)
5 + (-8 * -4 + x * -4) = 15(4x + -1)
5 + (32 + -4x) = 15(4x + -1)

Combine like terms: 5 + 32 = 37
37 + -4x = 15(4x + -1)

Reorder the terms:
37 + -4x = 15(-1 + 4x)
37 + -4x = (-1 * 15 + 4x * 15)
37 + -4x = (-15 + 60x)

Solving
37 + -4x = -15 + 60x

Solving for variable 'x'.

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

Add '-60x' to each side of the equation.
37 + -4x + -60x = -15 + 60x + -60x

Combine like terms: -4x + -60x = -64x
37 + -64x = -15 + 60x + -60x

Combine like terms: 60x + -60x = 0
37 + -64x = -15 + 0
37 + -64x = -15

Add '-37' to each side of the equation.
37 + -37 + -64x = -15 + -37

Combine like terms: 37 + -37 = 0
0 + -64x = -15 + -37
-64x = -15 + -37

Combine like terms: -15 + -37 = -52
-64x = -52

Divide each side by '-64'.
x = 0.8125

Simplifying
x = 0.8125

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