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

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


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

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

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

Remove parenthesis around (3 + 2x)
-8 + 4x + 3 + 2x = 6

Reorder the terms:
-8 + 3 + 4x + 2x = 6

Combine like terms: -8 + 3 = -5
-5 + 4x + 2x = 6

Combine like terms: 4x + 2x = 6x
-5 + 6x = 6

Solving
-5 + 6x = 6

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 6x = 6 + 5

Combine like terms: -5 + 5 = 0
0 + 6x = 6 + 5
6x = 6 + 5

Combine like terms: 6 + 5 = 11
6x = 11

Divide each side by '6'.
x = 1.833333333

Simplifying
x = 1.833333333

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