13x-2(x+4)=8x+1

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Solution for 13x-2(x+4)=8x+1 equation:


Simplifying
13x + -2(x + 4) = 8x + 1

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

Reorder the terms:
-8 + 13x + -2x = 8x + 1

Combine like terms: 13x + -2x = 11x
-8 + 11x = 8x + 1

Reorder the terms:
-8 + 11x = 1 + 8x

Solving
-8 + 11x = 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.
-8 + 11x + -8x = 1 + 8x + -8x

Combine like terms: 11x + -8x = 3x
-8 + 3x = 1 + 8x + -8x

Combine like terms: 8x + -8x = 0
-8 + 3x = 1 + 0
-8 + 3x = 1

Add '8' to each side of the equation.
-8 + 8 + 3x = 1 + 8

Combine like terms: -8 + 8 = 0
0 + 3x = 1 + 8
3x = 1 + 8

Combine like terms: 1 + 8 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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