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

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


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

Reorder the terms:
-5 + 4x = 3(6 + x) + 6
-5 + 4x = (6 * 3 + x * 3) + 6
-5 + 4x = (18 + 3x) + 6

Reorder the terms:
-5 + 4x = 18 + 6 + 3x

Combine like terms: 18 + 6 = 24
-5 + 4x = 24 + 3x

Solving
-5 + 4x = 24 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-5 + 4x + -3x = 24 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-5 + 1x = 24 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5 + 1x = 24 + 0
-5 + 1x = 24

Add '5' to each side of the equation.
-5 + 5 + 1x = 24 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = 24 + 5
1x = 24 + 5

Combine like terms: 24 + 5 = 29
1x = 29

Divide each side by '1'.
x = 29

Simplifying
x = 29

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