3x-5+3x=3(6x-4)+3

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Solution for 3x-5+3x=3(6x-4)+3 equation:


Simplifying
3x + -5 + 3x = 3(6x + -4) + 3

Reorder the terms:
-5 + 3x + 3x = 3(6x + -4) + 3

Combine like terms: 3x + 3x = 6x
-5 + 6x = 3(6x + -4) + 3

Reorder the terms:
-5 + 6x = 3(-4 + 6x) + 3
-5 + 6x = (-4 * 3 + 6x * 3) + 3
-5 + 6x = (-12 + 18x) + 3

Reorder the terms:
-5 + 6x = -12 + 3 + 18x

Combine like terms: -12 + 3 = -9
-5 + 6x = -9 + 18x

Solving
-5 + 6x = -9 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
-5 + 6x + -18x = -9 + 18x + -18x

Combine like terms: 6x + -18x = -12x
-5 + -12x = -9 + 18x + -18x

Combine like terms: 18x + -18x = 0
-5 + -12x = -9 + 0
-5 + -12x = -9

Add '5' to each side of the equation.
-5 + 5 + -12x = -9 + 5

Combine like terms: -5 + 5 = 0
0 + -12x = -9 + 5
-12x = -9 + 5

Combine like terms: -9 + 5 = -4
-12x = -4

Divide each side by '-12'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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