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

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


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

Reorder the terms:
x + -4(-8 + x) = 3(x + -5) + 5
x + (-8 * -4 + x * -4) = 3(x + -5) + 5
x + (32 + -4x) = 3(x + -5) + 5

Reorder the terms:
32 + x + -4x = 3(x + -5) + 5

Combine like terms: x + -4x = -3x
32 + -3x = 3(x + -5) + 5

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

Reorder the terms:
32 + -3x = -15 + 5 + 3x

Combine like terms: -15 + 5 = -10
32 + -3x = -10 + 3x

Solving
32 + -3x = -10 + 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 + -3x + -3x = -10 + 3x + -3x

Combine like terms: -3x + -3x = -6x
32 + -6x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
32 + -6x = -10 + 0
32 + -6x = -10

Add '-32' to each side of the equation.
32 + -32 + -6x = -10 + -32

Combine like terms: 32 + -32 = 0
0 + -6x = -10 + -32
-6x = -10 + -32

Combine like terms: -10 + -32 = -42
-6x = -42

Divide each side by '-6'.
x = 7

Simplifying
x = 7

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