2x-5(x-2)=4-8x+1

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Solution for 2x-5(x-2)=4-8x+1 equation: 


Simplifying
2x + -5(x + -2) = 4 + -8x + 1

Reorder the terms:
2x + -5(-2 + x) = 4 + -8x + 1
2x + (-2 * -5 + x * -5) = 4 + -8x + 1
2x + (10 + -5x) = 4 + -8x + 1

Reorder the terms:
10 + 2x + -5x = 4 + -8x + 1

Combine like terms: 2x + -5x = -3x
10 + -3x = 4 + -8x + 1

Reorder the terms:
10 + -3x = 4 + 1 + -8x

Combine like terms: 4 + 1 = 5
10 + -3x = 5 + -8x

Solving
10 + -3x = 5 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
10 + -3x + 8x = 5 + -8x + 8x

Combine like terms: -3x + 8x = 5x
10 + 5x = 5 + -8x + 8x

Combine like terms: -8x + 8x = 0
10 + 5x = 5 + 0
10 + 5x = 5

Add '-10' to each side of the equation.
10 + -10 + 5x = 5 + -10

Combine like terms: 10 + -10 = 0
0 + 5x = 5 + -10
5x = 5 + -10

Combine like terms: 5 + -10 = -5
5x = -5

Divide each side by '5'.
x = -1

Simplifying
x = -1

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