4(x+3)+3(2x+8)=6

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Solution for 4(x+3)+3(2x+8)=6 equation: 


Simplifying
4(x + 3) + 3(2x + 8) = 6

Reorder the terms:
4(3 + x) + 3(2x + 8) = 6
(3 * 4 + x * 4) + 3(2x + 8) = 6
(12 + 4x) + 3(2x + 8) = 6

Reorder the terms:
12 + 4x + 3(8 + 2x) = 6
12 + 4x + (8 * 3 + 2x * 3) = 6
12 + 4x + (24 + 6x) = 6

Reorder the terms:
12 + 24 + 4x + 6x = 6

Combine like terms: 12 + 24 = 36
36 + 4x + 6x = 6

Combine like terms: 4x + 6x = 10x
36 + 10x = 6

Solving
36 + 10x = 6

Solving for variable 'x'.

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

Add '-36' to each side of the equation.
36 + -36 + 10x = 6 + -36

Combine like terms: 36 + -36 = 0
0 + 10x = 6 + -36
10x = 6 + -36

Combine like terms: 6 + -36 = -30
10x = -30

Divide each side by '10'.
x = -3

Simplifying
x = -3

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