5x-3(x-9)=2+3x

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Solution for 5x-3(x-9)=2+3x equation:


Simplifying
5x + -3(x + -9) = 2 + 3x

Reorder the terms:
5x + -3(-9 + x) = 2 + 3x
5x + (-9 * -3 + x * -3) = 2 + 3x
5x + (27 + -3x) = 2 + 3x

Reorder the terms:
27 + 5x + -3x = 2 + 3x

Combine like terms: 5x + -3x = 2x
27 + 2x = 2 + 3x

Solving
27 + 2x = 2 + 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.
27 + 2x + -3x = 2 + 3x + -3x

Combine like terms: 2x + -3x = -1x
27 + -1x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
27 + -1x = 2 + 0
27 + -1x = 2

Add '-27' to each side of the equation.
27 + -27 + -1x = 2 + -27

Combine like terms: 27 + -27 = 0
0 + -1x = 2 + -27
-1x = 2 + -27

Combine like terms: 2 + -27 = -25
-1x = -25

Divide each side by '-1'.
x = 25

Simplifying
x = 25

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