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 for easier multiplication:
8 * 1(4 + -3x) = 53 + -3(x + -5)

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

Reorder the terms:
32 + -24x = 53 + -3(-5 + x)
32 + -24x = 53 + (-5 * -3 + x * -3)
32 + -24x = 53 + (15 + -3x)

Combine like terms: 53 + 15 = 68
32 + -24x = 68 + -3x

Solving
32 + -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.
32 + -24x + 3x = 68 + -3x + 3x

Combine like terms: -24x + 3x = -21x
32 + -21x = 68 + -3x + 3x

Combine like terms: -3x + 3x = 0
32 + -21x = 68 + 0
32 + -21x = 68

Add '-32' to each side of the equation.
32 + -32 + -21x = 68 + -32

Combine like terms: 32 + -32 = 0
0 + -21x = 68 + -32
-21x = 68 + -32

Combine like terms: 68 + -32 = 36
-21x = 36

Divide each side by '-21'.
x = -1.714285714

Simplifying
x = -1.714285714

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