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 = -2
-2 + 4x + 2x = 6

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

Solving
-2 + 6x = 6

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 6x = 6 + 2

Combine like terms: -2 + 2 = 0
0 + 6x = 6 + 2
6x = 6 + 2

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

Divide each side by '6'.
x = 1.333333333

Simplifying
x = 1.333333333

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