3(2x+1)-4(x+1)=11

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Solution for 3(2x+1)-4(x+1)=11 equation: 


Simplifying
3(2x + 1) + -4(x + 1) = 11

Reorder the terms:
3(1 + 2x) + -4(x + 1) = 11
(1 * 3 + 2x * 3) + -4(x + 1) = 11
(3 + 6x) + -4(x + 1) = 11

Reorder the terms:
3 + 6x + -4(1 + x) = 11
3 + 6x + (1 * -4 + x * -4) = 11
3 + 6x + (-4 + -4x) = 11

Reorder the terms:
3 + -4 + 6x + -4x = 11

Combine like terms: 3 + -4 = -1
-1 + 6x + -4x = 11

Combine like terms: 6x + -4x = 2x
-1 + 2x = 11

Solving
-1 + 2x = 11

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 2x = 11 + 1

Combine like terms: -1 + 1 = 0
0 + 2x = 11 + 1
2x = 11 + 1

Combine like terms: 11 + 1 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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