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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