4(x+1)+6-3-2(x+3)=11

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Solution for 4(x+1)+6-3-2(x+3)=11 equation: 


Simplifying
4(x + 1) + 6 + -3 + -2(x + 3) = 11

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

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

Reorder the terms:
4 + 6 + -3 + -6 + 4x + -2x = 11

Combine like terms: 4 + 6 = 10
10 + -3 + -6 + 4x + -2x = 11

Combine like terms: 10 + -3 = 7
7 + -6 + 4x + -2x = 11

Combine like terms: 7 + -6 = 1
1 + 4x + -2x = 11

Combine like terms: 4x + -2x = 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 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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