2(4x+1)=5x+11

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Solution for 2(4x+1)=5x+11 equation:


Simplifying
2(4x + 1) = 5x + 11

Reorder the terms:
2(1 + 4x) = 5x + 11
(1 * 2 + 4x * 2) = 5x + 11
(2 + 8x) = 5x + 11

Reorder the terms:
2 + 8x = 11 + 5x

Solving
2 + 8x = 11 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
2 + 8x + -5x = 11 + 5x + -5x

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

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

Add '-2' to each side of the equation.
2 + -2 + 3x = 11 + -2

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

Combine like terms: 11 + -2 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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