6x+(7x-11)=15x-(4x+5)

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Solution for 6x+(7x-11)=15x-(4x+5) equation:


Simplifying
6x + (7x + -11) = 15x + -1(4x + 5)

Reorder the terms:
6x + (-11 + 7x) = 15x + -1(4x + 5)

Remove parenthesis around (-11 + 7x)
6x + -11 + 7x = 15x + -1(4x + 5)

Reorder the terms:
-11 + 6x + 7x = 15x + -1(4x + 5)

Combine like terms: 6x + 7x = 13x
-11 + 13x = 15x + -1(4x + 5)

Reorder the terms:
-11 + 13x = 15x + -1(5 + 4x)
-11 + 13x = 15x + (5 * -1 + 4x * -1)
-11 + 13x = 15x + (-5 + -4x)

Reorder the terms:
-11 + 13x = -5 + 15x + -4x

Combine like terms: 15x + -4x = 11x
-11 + 13x = -5 + 11x

Solving
-11 + 13x = -5 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
-11 + 13x + -11x = -5 + 11x + -11x

Combine like terms: 13x + -11x = 2x
-11 + 2x = -5 + 11x + -11x

Combine like terms: 11x + -11x = 0
-11 + 2x = -5 + 0
-11 + 2x = -5

Add '11' to each side of the equation.
-11 + 11 + 2x = -5 + 11

Combine like terms: -11 + 11 = 0
0 + 2x = -5 + 11
2x = -5 + 11

Combine like terms: -5 + 11 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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