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)

Reorder the terms:
8(4 + 1 + -3x) = 53 + -3(x + -5)

Combine like terms: 4 + 1 = 5
8(5 + -3x) = 53 + -3(x + -5)
(5 * 8 + -3x * 8) = 53 + -3(x + -5)
(40 + -24x) = 53 + -3(x + -5)

Reorder the terms:
40 + -24x = 53 + -3(-5 + x)
40 + -24x = 53 + (-5 * -3 + x * -3)
40 + -24x = 53 + (15 + -3x)

Combine like terms: 53 + 15 = 68
40 + -24x = 68 + -3x

Solving
40 + -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.
40 + -24x + 3x = 68 + -3x + 3x

Combine like terms: -24x + 3x = -21x
40 + -21x = 68 + -3x + 3x

Combine like terms: -3x + 3x = 0
40 + -21x = 68 + 0
40 + -21x = 68

Add '-40' to each side of the equation.
40 + -40 + -21x = 68 + -40

Combine like terms: 40 + -40 = 0
0 + -21x = 68 + -40
-21x = 68 + -40

Combine like terms: 68 + -40 = 28
-21x = 28

Divide each side by '-21'.
x = -1.333333333

Simplifying
x = -1.333333333

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