8(x+1)-3(2x-4)=3x+1

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Solution for 8(x+1)-3(2x-4)=3x+1 equation: 


Simplifying
8(x + 1) + -3(2x + -4) = 3x + 1

Reorder the terms:
8(1 + x) + -3(2x + -4) = 3x + 1
(1 * 8 + x * 8) + -3(2x + -4) = 3x + 1
(8 + 8x) + -3(2x + -4) = 3x + 1

Reorder the terms:
8 + 8x + -3(-4 + 2x) = 3x + 1
8 + 8x + (-4 * -3 + 2x * -3) = 3x + 1
8 + 8x + (12 + -6x) = 3x + 1

Reorder the terms:
8 + 12 + 8x + -6x = 3x + 1

Combine like terms: 8 + 12 = 20
20 + 8x + -6x = 3x + 1

Combine like terms: 8x + -6x = 2x
20 + 2x = 3x + 1

Reorder the terms:
20 + 2x = 1 + 3x

Solving
20 + 2x = 1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
20 + 2x + -3x = 1 + 3x + -3x

Combine like terms: 2x + -3x = -1x
20 + -1x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
20 + -1x = 1 + 0
20 + -1x = 1

Add '-20' to each side of the equation.
20 + -20 + -1x = 1 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 1 + -20
-1x = 1 + -20

Combine like terms: 1 + -20 = -19
-1x = -19

Divide each side by '-1'.
x = 19

Simplifying
x = 19

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