(6x-4)=3(x+1)+3

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Solution for (6x-4)=3(x+1)+3 equation:


Simplifying
(6x + -4) = 3(x + 1) + 3

Reorder the terms:
(-4 + 6x) = 3(x + 1) + 3

Remove parenthesis around (-4 + 6x)
-4 + 6x = 3(x + 1) + 3

Reorder the terms:
-4 + 6x = 3(1 + x) + 3
-4 + 6x = (1 * 3 + x * 3) + 3
-4 + 6x = (3 + 3x) + 3

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

Combine like terms: 3 + 3 = 6
-4 + 6x = 6 + 3x

Solving
-4 + 6x = 6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-4 + 6x + -3x = 6 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-4 + 3x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-4 + 3x = 6 + 0
-4 + 3x = 6

Add '4' to each side of the equation.
-4 + 4 + 3x = 6 + 4

Combine like terms: -4 + 4 = 0
0 + 3x = 6 + 4
3x = 6 + 4

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

Divide each side by '3'.
x = 3.333333333

Simplifying
x = 3.333333333

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