2x-(3x+5)=15+6(x-1)

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Solution for 2x-(3x+5)=15+6(x-1) equation:


Simplifying
2x + -1(3x + 5) = 15 + 6(x + -1)

Reorder the terms:
2x + -1(5 + 3x) = 15 + 6(x + -1)
2x + (5 * -1 + 3x * -1) = 15 + 6(x + -1)
2x + (-5 + -3x) = 15 + 6(x + -1)

Reorder the terms:
-5 + 2x + -3x = 15 + 6(x + -1)

Combine like terms: 2x + -3x = -1x
-5 + -1x = 15 + 6(x + -1)

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

Combine like terms: 15 + -6 = 9
-5 + -1x = 9 + 6x

Solving
-5 + -1x = 9 + 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.
-5 + -1x + -6x = 9 + 6x + -6x

Combine like terms: -1x + -6x = -7x
-5 + -7x = 9 + 6x + -6x

Combine like terms: 6x + -6x = 0
-5 + -7x = 9 + 0
-5 + -7x = 9

Add '5' to each side of the equation.
-5 + 5 + -7x = 9 + 5

Combine like terms: -5 + 5 = 0
0 + -7x = 9 + 5
-7x = 9 + 5

Combine like terms: 9 + 5 = 14
-7x = 14

Divide each side by '-7'.
x = -2

Simplifying
x = -2

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