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

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


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

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

Reorder the terms:
2 + 8x = -8 + 3x

Solving
2 + 8x = -8 + 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.
2 + 8x + -3x = -8 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
2 + 5x = -8 + 0
2 + 5x = -8

Add '-2' to each side of the equation.
2 + -2 + 5x = -8 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = -8 + -2
5x = -8 + -2

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

Divide each side by '5'.
x = -2

Simplifying
x = -2

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