5(x+1)+6=3(4+x)+(3x-4)

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Solution for 5(x+1)+6=3(4+x)+(3x-4) equation:


Simplifying
5(x + 1) + 6 = 3(4 + x) + (3x + -4)

Reorder the terms:
5(1 + x) + 6 = 3(4 + x) + (3x + -4)
(1 * 5 + x * 5) + 6 = 3(4 + x) + (3x + -4)
(5 + 5x) + 6 = 3(4 + x) + (3x + -4)

Reorder the terms:
5 + 6 + 5x = 3(4 + x) + (3x + -4)

Combine like terms: 5 + 6 = 11
11 + 5x = 3(4 + x) + (3x + -4)
11 + 5x = (4 * 3 + x * 3) + (3x + -4)
11 + 5x = (12 + 3x) + (3x + -4)

Reorder the terms:
11 + 5x = 12 + 3x + (-4 + 3x)

Remove parenthesis around (-4 + 3x)
11 + 5x = 12 + 3x + -4 + 3x

Reorder the terms:
11 + 5x = 12 + -4 + 3x + 3x

Combine like terms: 12 + -4 = 8
11 + 5x = 8 + 3x + 3x

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

Solving
11 + 5x = 8 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
11 + 5x + -6x = 8 + 6x + -6x

Combine like terms: 5x + -6x = -1x
11 + -1x = 8 + 6x + -6x

Combine like terms: 6x + -6x = 0
11 + -1x = 8 + 0
11 + -1x = 8

Add '-11' to each side of the equation.
11 + -11 + -1x = 8 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 8 + -11
-1x = 8 + -11

Combine like terms: 8 + -11 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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