13x-2(2x-2)=8x+1

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Solution for 13x-2(2x-2)=8x+1 equation:


Simplifying
13x + -2(2x + -2) = 8x + 1

Reorder the terms:
13x + -2(-2 + 2x) = 8x + 1
13x + (-2 * -2 + 2x * -2) = 8x + 1
13x + (4 + -4x) = 8x + 1

Reorder the terms:
4 + 13x + -4x = 8x + 1

Combine like terms: 13x + -4x = 9x
4 + 9x = 8x + 1

Reorder the terms:
4 + 9x = 1 + 8x

Solving
4 + 9x = 1 + 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.
4 + 9x + -8x = 1 + 8x + -8x

Combine like terms: 9x + -8x = 1x
4 + 1x = 1 + 8x + -8x

Combine like terms: 8x + -8x = 0
4 + 1x = 1 + 0
4 + 1x = 1

Add '-4' to each side of the equation.
4 + -4 + 1x = 1 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = 1 + -4
1x = 1 + -4

Combine like terms: 1 + -4 = -3
1x = -3

Divide each side by '1'.
x = -3

Simplifying
x = -3

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