6x-(3x+6)=5x-38

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Solution for 6x-(3x+6)=5x-38 equation:


Simplifying
6x + -1(3x + 6) = 5x + -38

Reorder the terms:
6x + -1(6 + 3x) = 5x + -38
6x + (6 * -1 + 3x * -1) = 5x + -38
6x + (-6 + -3x) = 5x + -38

Reorder the terms:
-6 + 6x + -3x = 5x + -38

Combine like terms: 6x + -3x = 3x
-6 + 3x = 5x + -38

Reorder the terms:
-6 + 3x = -38 + 5x

Solving
-6 + 3x = -38 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-6 + 3x + -5x = -38 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-6 + -2x = -38 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + -2x = -38 + 0
-6 + -2x = -38

Add '6' to each side of the equation.
-6 + 6 + -2x = -38 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = -38 + 6
-2x = -38 + 6

Combine like terms: -38 + 6 = -32
-2x = -32

Divide each side by '-2'.
x = 16

Simplifying
x = 16

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