2x-(5x+6)=6x-15

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Solution for 2x-(5x+6)=6x-15 equation:


Simplifying
2x + -1(5x + 6) = 6x + -15

Reorder the terms:
2x + -1(6 + 5x) = 6x + -15
2x + (6 * -1 + 5x * -1) = 6x + -15
2x + (-6 + -5x) = 6x + -15

Reorder the terms:
-6 + 2x + -5x = 6x + -15

Combine like terms: 2x + -5x = -3x
-6 + -3x = 6x + -15

Reorder the terms:
-6 + -3x = -15 + 6x

Solving
-6 + -3x = -15 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-6 + -3x + -6x = -15 + 6x + -6x

Combine like terms: -3x + -6x = -9x
-6 + -9x = -15 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + -9x = -15 + 0
-6 + -9x = -15

Add '6' to each side of the equation.
-6 + 6 + -9x = -15 + 6

Combine like terms: -6 + 6 = 0
0 + -9x = -15 + 6
-9x = -15 + 6

Combine like terms: -15 + 6 = -9
-9x = -9

Divide each side by '-9'.
x = 1

Simplifying
x = 1

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