8x-2(x-5)=2x-20

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Solution for 8x-2(x-5)=2x-20 equation:


Simplifying
8x + -2(x + -5) = 2x + -20

Reorder the terms:
8x + -2(-5 + x) = 2x + -20
8x + (-5 * -2 + x * -2) = 2x + -20
8x + (10 + -2x) = 2x + -20

Reorder the terms:
10 + 8x + -2x = 2x + -20

Combine like terms: 8x + -2x = 6x
10 + 6x = 2x + -20

Reorder the terms:
10 + 6x = -20 + 2x

Solving
10 + 6x = -20 + 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.
10 + 6x + -2x = -20 + 2x + -2x

Combine like terms: 6x + -2x = 4x
10 + 4x = -20 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + 4x = -20 + 0
10 + 4x = -20

Add '-10' to each side of the equation.
10 + -10 + 4x = -20 + -10

Combine like terms: 10 + -10 = 0
0 + 4x = -20 + -10
4x = -20 + -10

Combine like terms: -20 + -10 = -30
4x = -30

Divide each side by '4'.
x = -7.5

Simplifying
x = -7.5

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