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

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


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

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

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

Combine like terms: x + -5x = -4x
20 + -4x = 3(x + -8) + -5

Reorder the terms:
20 + -4x = 3(-8 + x) + -5
20 + -4x = (-8 * 3 + x * 3) + -5
20 + -4x = (-24 + 3x) + -5

Reorder the terms:
20 + -4x = -24 + -5 + 3x

Combine like terms: -24 + -5 = -29
20 + -4x = -29 + 3x

Solving
20 + -4x = -29 + 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.
20 + -4x + -3x = -29 + 3x + -3x

Combine like terms: -4x + -3x = -7x
20 + -7x = -29 + 3x + -3x

Combine like terms: 3x + -3x = 0
20 + -7x = -29 + 0
20 + -7x = -29

Add '-20' to each side of the equation.
20 + -20 + -7x = -29 + -20

Combine like terms: 20 + -20 = 0
0 + -7x = -29 + -20
-7x = -29 + -20

Combine like terms: -29 + -20 = -49
-7x = -49

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

Simplifying
x = 7

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