3x-3+21=4x-2+9x

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Solution for 3x-3+21=4x-2+9x equation:


Simplifying
3x + -3 + 21 = 4x + -2 + 9x

Reorder the terms:
-3 + 21 + 3x = 4x + -2 + 9x

Combine like terms: -3 + 21 = 18
18 + 3x = 4x + -2 + 9x

Reorder the terms:
18 + 3x = -2 + 4x + 9x

Combine like terms: 4x + 9x = 13x
18 + 3x = -2 + 13x

Solving
18 + 3x = -2 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
18 + 3x + -13x = -2 + 13x + -13x

Combine like terms: 3x + -13x = -10x
18 + -10x = -2 + 13x + -13x

Combine like terms: 13x + -13x = 0
18 + -10x = -2 + 0
18 + -10x = -2

Add '-18' to each side of the equation.
18 + -18 + -10x = -2 + -18

Combine like terms: 18 + -18 = 0
0 + -10x = -2 + -18
-10x = -2 + -18

Combine like terms: -2 + -18 = -20
-10x = -20

Divide each side by '-10'.
x = 2

Simplifying
x = 2

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