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

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


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

Reorder the terms:
6 + 3(-3 + x) = 2(3x + -4)
6 + (-3 * 3 + x * 3) = 2(3x + -4)
6 + (-9 + 3x) = 2(3x + -4)

Combine like terms: 6 + -9 = -3
-3 + 3x = 2(3x + -4)

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

Solving
-3 + 3x = -8 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-3 + 3x + -6x = -8 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-3 + -3x = -8 + 6x + -6x

Combine like terms: 6x + -6x = 0
-3 + -3x = -8 + 0
-3 + -3x = -8

Add '3' to each side of the equation.
-3 + 3 + -3x = -8 + 3

Combine like terms: -3 + 3 = 0
0 + -3x = -8 + 3
-3x = -8 + 3

Combine like terms: -8 + 3 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667

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