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

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


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

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

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

Reorder the terms:
8 + 6 + 4x + 2x = 6

Combine like terms: 8 + 6 = 14
14 + 4x + 2x = 6

Combine like terms: 4x + 2x = 6x
14 + 6x = 6

Solving
14 + 6x = 6

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + 6x = 6 + -14

Combine like terms: 14 + -14 = 0
0 + 6x = 6 + -14
6x = 6 + -14

Combine like terms: 6 + -14 = -8
6x = -8

Divide each side by '6'.
x = -1.333333333

Simplifying
x = -1.333333333

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