3(2x+1)=8x-5

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Solution for 3(2x+1)=8x-5 equation:


Simplifying
3(2x + 1) = 8x + -5

Reorder the terms:
3(1 + 2x) = 8x + -5
(1 * 3 + 2x * 3) = 8x + -5
(3 + 6x) = 8x + -5

Reorder the terms:
3 + 6x = -5 + 8x

Solving
3 + 6x = -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.
3 + 6x + -8x = -5 + 8x + -8x

Combine like terms: 6x + -8x = -2x
3 + -2x = -5 + 8x + -8x

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

Add '-3' to each side of the equation.
3 + -3 + -2x = -5 + -3

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

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

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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