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

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


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

Reorder the terms:
-4(-5 + x) + -1 = 3(x + -8)
(-5 * -4 + x * -4) + -1 = 3(x + -8)
(20 + -4x) + -1 = 3(x + -8)

Reorder the terms:
20 + -1 + -4x = 3(x + -8)

Combine like terms: 20 + -1 = 19
19 + -4x = 3(x + -8)

Reorder the terms:
19 + -4x = 3(-8 + x)
19 + -4x = (-8 * 3 + x * 3)
19 + -4x = (-24 + 3x)

Solving
19 + -4x = -24 + 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.
19 + -4x + -3x = -24 + 3x + -3x

Combine like terms: -4x + -3x = -7x
19 + -7x = -24 + 3x + -3x

Combine like terms: 3x + -3x = 0
19 + -7x = -24 + 0
19 + -7x = -24

Add '-19' to each side of the equation.
19 + -19 + -7x = -24 + -19

Combine like terms: 19 + -19 = 0
0 + -7x = -24 + -19
-7x = -24 + -19

Combine like terms: -24 + -19 = -43
-7x = -43

Divide each side by '-7'.
x = 6.142857143

Simplifying
x = 6.142857143

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