6(x+9)+x=3(x+2)+4

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Solution for 6(x+9)+x=3(x+2)+4 equation: 


Simplifying
6(x + 9) + x = 3(x + 2) + 4

Reorder the terms:
6(9 + x) + x = 3(x + 2) + 4
(9 * 6 + x * 6) + x = 3(x + 2) + 4
(54 + 6x) + x = 3(x + 2) + 4

Combine like terms: 6x + x = 7x
54 + 7x = 3(x + 2) + 4

Reorder the terms:
54 + 7x = 3(2 + x) + 4
54 + 7x = (2 * 3 + x * 3) + 4
54 + 7x = (6 + 3x) + 4

Reorder the terms:
54 + 7x = 6 + 4 + 3x

Combine like terms: 6 + 4 = 10
54 + 7x = 10 + 3x

Solving
54 + 7x = 10 + 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.
54 + 7x + -3x = 10 + 3x + -3x

Combine like terms: 7x + -3x = 4x
54 + 4x = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
54 + 4x = 10 + 0
54 + 4x = 10

Add '-54' to each side of the equation.
54 + -54 + 4x = 10 + -54

Combine like terms: 54 + -54 = 0
0 + 4x = 10 + -54
4x = 10 + -54

Combine like terms: 10 + -54 = -44
4x = -44

Divide each side by '4'.
x = -11

Simplifying
x = -11

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