2(4x-1)=3(x+2)+5

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Solution for 2(4x-1)=3(x+2)+5 equation: 


Simplifying
2(4x + -1) = 3(x + 2) + 5

Reorder the terms:
2(-1 + 4x) = 3(x + 2) + 5
(-1 * 2 + 4x * 2) = 3(x + 2) + 5
(-2 + 8x) = 3(x + 2) + 5

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

Reorder the terms:
-2 + 8x = 6 + 5 + 3x

Combine like terms: 6 + 5 = 11
-2 + 8x = 11 + 3x

Solving
-2 + 8x = 11 + 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 = 11 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-2 + 5x = 11 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + 5x = 11 + 0
-2 + 5x = 11

Add '2' to each side of the equation.
-2 + 2 + 5x = 11 + 2

Combine like terms: -2 + 2 = 0
0 + 5x = 11 + 2
5x = 11 + 2

Combine like terms: 11 + 2 = 13
5x = 13

Divide each side by '5'.
x = 2.6

Simplifying
x = 2.6

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