3x+(7x-2)=15x-(6x-6)

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Solution for 3x+(7x-2)=15x-(6x-6) equation:


Simplifying
3x + (7x + -2) = 15x + -1(6x + -6)

Reorder the terms:
3x + (-2 + 7x) = 15x + -1(6x + -6)

Remove parenthesis around (-2 + 7x)
3x + -2 + 7x = 15x + -1(6x + -6)

Reorder the terms:
-2 + 3x + 7x = 15x + -1(6x + -6)

Combine like terms: 3x + 7x = 10x
-2 + 10x = 15x + -1(6x + -6)

Reorder the terms:
-2 + 10x = 15x + -1(-6 + 6x)
-2 + 10x = 15x + (-6 * -1 + 6x * -1)
-2 + 10x = 15x + (6 + -6x)

Reorder the terms:
-2 + 10x = 6 + 15x + -6x

Combine like terms: 15x + -6x = 9x
-2 + 10x = 6 + 9x

Solving
-2 + 10x = 6 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-2 + 10x + -9x = 6 + 9x + -9x

Combine like terms: 10x + -9x = 1x
-2 + 1x = 6 + 9x + -9x

Combine like terms: 9x + -9x = 0
-2 + 1x = 6 + 0
-2 + 1x = 6

Add '2' to each side of the equation.
-2 + 2 + 1x = 6 + 2

Combine like terms: -2 + 2 = 0
0 + 1x = 6 + 2
1x = 6 + 2

Combine like terms: 6 + 2 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8

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