8x-4(x-5)=2(x-5)+5

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Solution for 8x-4(x-5)=2(x-5)+5 equation: 


Simplifying
8x + -4(x + -5) = 2(x + -5) + 5

Reorder the terms:
8x + -4(-5 + x) = 2(x + -5) + 5
8x + (-5 * -4 + x * -4) = 2(x + -5) + 5
8x + (20 + -4x) = 2(x + -5) + 5

Reorder the terms:
20 + 8x + -4x = 2(x + -5) + 5

Combine like terms: 8x + -4x = 4x
20 + 4x = 2(x + -5) + 5

Reorder the terms:
20 + 4x = 2(-5 + x) + 5
20 + 4x = (-5 * 2 + x * 2) + 5
20 + 4x = (-10 + 2x) + 5

Reorder the terms:
20 + 4x = -10 + 5 + 2x

Combine like terms: -10 + 5 = -5
20 + 4x = -5 + 2x

Solving
20 + 4x = -5 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
20 + 4x + -2x = -5 + 2x + -2x

Combine like terms: 4x + -2x = 2x
20 + 2x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
20 + 2x = -5 + 0
20 + 2x = -5

Add '-20' to each side of the equation.
20 + -20 + 2x = -5 + -20

Combine like terms: 20 + -20 = 0
0 + 2x = -5 + -20
2x = -5 + -20

Combine like terms: -5 + -20 = -25
2x = -25

Divide each side by '2'.
x = -12.5

Simplifying
x = -12.5

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