3(x+9)-(x-3)=38-2x

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Solution for 3(x+9)-(x-3)=38-2x equation:


Simplifying
3(x + 9) + -1(x + -3) = 38 + -2x

Reorder the terms:
3(9 + x) + -1(x + -3) = 38 + -2x
(9 * 3 + x * 3) + -1(x + -3) = 38 + -2x
(27 + 3x) + -1(x + -3) = 38 + -2x

Reorder the terms:
27 + 3x + -1(-3 + x) = 38 + -2x
27 + 3x + (-3 * -1 + x * -1) = 38 + -2x
27 + 3x + (3 + -1x) = 38 + -2x

Reorder the terms:
27 + 3 + 3x + -1x = 38 + -2x

Combine like terms: 27 + 3 = 30
30 + 3x + -1x = 38 + -2x

Combine like terms: 3x + -1x = 2x
30 + 2x = 38 + -2x

Solving
30 + 2x = 38 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
30 + 2x + 2x = 38 + -2x + 2x

Combine like terms: 2x + 2x = 4x
30 + 4x = 38 + -2x + 2x

Combine like terms: -2x + 2x = 0
30 + 4x = 38 + 0
30 + 4x = 38

Add '-30' to each side of the equation.
30 + -30 + 4x = 38 + -30

Combine like terms: 30 + -30 = 0
0 + 4x = 38 + -30
4x = 38 + -30

Combine like terms: 38 + -30 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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