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

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


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

Reorder the terms:
4 + 3(6 + x) = 2(3x + 3) + 4
4 + (6 * 3 + x * 3) = 2(3x + 3) + 4
4 + (18 + 3x) = 2(3x + 3) + 4

Combine like terms: 4 + 18 = 22
22 + 3x = 2(3x + 3) + 4

Reorder the terms:
22 + 3x = 2(3 + 3x) + 4
22 + 3x = (3 * 2 + 3x * 2) + 4
22 + 3x = (6 + 6x) + 4

Reorder the terms:
22 + 3x = 6 + 4 + 6x

Combine like terms: 6 + 4 = 10
22 + 3x = 10 + 6x

Solving
22 + 3x = 10 + 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.
22 + 3x + -6x = 10 + 6x + -6x

Combine like terms: 3x + -6x = -3x
22 + -3x = 10 + 6x + -6x

Combine like terms: 6x + -6x = 0
22 + -3x = 10 + 0
22 + -3x = 10

Add '-22' to each side of the equation.
22 + -22 + -3x = 10 + -22

Combine like terms: 22 + -22 = 0
0 + -3x = 10 + -22
-3x = 10 + -22

Combine like terms: 10 + -22 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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