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

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


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

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

Reorder the terms:
2 + 8x + -3(-3 + 2x) = 5
2 + 8x + (-3 * -3 + 2x * -3) = 5
2 + 8x + (9 + -6x) = 5

Reorder the terms:
2 + 9 + 8x + -6x = 5

Combine like terms: 2 + 9 = 11
11 + 8x + -6x = 5

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

Solving
11 + 2x = 5

Solving for variable 'x'.

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

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

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

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

Divide each side by '2'.
x = -3

Simplifying
x = -3

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