8(4-3x)+1=53-3(x-5)

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Solution for 8(4-3x)+1=53-3(x-5) equation: 


Simplifying
8(4 + -3x) + 1 = 53 + -3(x + -5)
(4 * 8 + -3x * 8) + 1 = 53 + -3(x + -5)
(32 + -24x) + 1 = 53 + -3(x + -5)

Reorder the terms:
32 + 1 + -24x = 53 + -3(x + -5)

Combine like terms: 32 + 1 = 33
33 + -24x = 53 + -3(x + -5)

Reorder the terms:
33 + -24x = 53 + -3(-5 + x)
33 + -24x = 53 + (-5 * -3 + x * -3)
33 + -24x = 53 + (15 + -3x)

Combine like terms: 53 + 15 = 68
33 + -24x = 68 + -3x

Solving
33 + -24x = 68 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
33 + -24x + 3x = 68 + -3x + 3x

Combine like terms: -24x + 3x = -21x
33 + -21x = 68 + -3x + 3x

Combine like terms: -3x + 3x = 0
33 + -21x = 68 + 0
33 + -21x = 68

Add '-33' to each side of the equation.
33 + -33 + -21x = 68 + -33

Combine like terms: 33 + -33 = 0
0 + -21x = 68 + -33
-21x = 68 + -33

Combine like terms: 68 + -33 = 35
-21x = 35

Divide each side by '-21'.
x = -1.666666667

Simplifying
x = -1.666666667

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