6x-2+3x=3(-3x+7)

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Solution for 6x-2+3x=3(-3x+7) equation:


Simplifying
6x + -2 + 3x = 3(-3x + 7)

Reorder the terms:
-2 + 6x + 3x = 3(-3x + 7)

Combine like terms: 6x + 3x = 9x
-2 + 9x = 3(-3x + 7)

Reorder the terms:
-2 + 9x = 3(7 + -3x)
-2 + 9x = (7 * 3 + -3x * 3)
-2 + 9x = (21 + -9x)

Solving
-2 + 9x = 21 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-2 + 9x + 9x = 21 + -9x + 9x

Combine like terms: 9x + 9x = 18x
-2 + 18x = 21 + -9x + 9x

Combine like terms: -9x + 9x = 0
-2 + 18x = 21 + 0
-2 + 18x = 21

Add '2' to each side of the equation.
-2 + 2 + 18x = 21 + 2

Combine like terms: -2 + 2 = 0
0 + 18x = 21 + 2
18x = 21 + 2

Combine like terms: 21 + 2 = 23
18x = 23

Divide each side by '18'.
x = 1.277777778

Simplifying
x = 1.277777778

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