15x-10=6x-x+2+(-x+3)

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Solution for 15x-10=6x-x+2+(-x+3) equation:


Simplifying
15x + -10 = 6x + -1x + 2 + (-1x + 3)

Reorder the terms:
-10 + 15x = 6x + -1x + 2 + (-1x + 3)

Reorder the terms:
-10 + 15x = 6x + -1x + 2 + (3 + -1x)

Remove parenthesis around (3 + -1x)
-10 + 15x = 6x + -1x + 2 + 3 + -1x

Reorder the terms:
-10 + 15x = 2 + 3 + 6x + -1x + -1x

Combine like terms: 2 + 3 = 5
-10 + 15x = 5 + 6x + -1x + -1x

Combine like terms: 6x + -1x = 5x
-10 + 15x = 5 + 5x + -1x

Combine like terms: 5x + -1x = 4x
-10 + 15x = 5 + 4x

Solving
-10 + 15x = 5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-10 + 15x + -4x = 5 + 4x + -4x

Combine like terms: 15x + -4x = 11x
-10 + 11x = 5 + 4x + -4x

Combine like terms: 4x + -4x = 0
-10 + 11x = 5 + 0
-10 + 11x = 5

Add '10' to each side of the equation.
-10 + 10 + 11x = 5 + 10

Combine like terms: -10 + 10 = 0
0 + 11x = 5 + 10
11x = 5 + 10

Combine like terms: 5 + 10 = 15
11x = 15

Divide each side by '11'.
x = 1.363636364

Simplifying
x = 1.363636364

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