15x-(x+6)=11-(x-10)

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Solution for 15x-(x+6)=11-(x-10) equation:


Simplifying
15x + -1(x + 6) = 11 + -1(x + -10)

Reorder the terms:
15x + -1(6 + x) = 11 + -1(x + -10)
15x + (6 * -1 + x * -1) = 11 + -1(x + -10)
15x + (-6 + -1x) = 11 + -1(x + -10)

Reorder the terms:
-6 + 15x + -1x = 11 + -1(x + -10)

Combine like terms: 15x + -1x = 14x
-6 + 14x = 11 + -1(x + -10)

Reorder the terms:
-6 + 14x = 11 + -1(-10 + x)
-6 + 14x = 11 + (-10 * -1 + x * -1)
-6 + 14x = 11 + (10 + -1x)

Combine like terms: 11 + 10 = 21
-6 + 14x = 21 + -1x

Solving
-6 + 14x = 21 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-6 + 14x + x = 21 + -1x + x

Combine like terms: 14x + x = 15x
-6 + 15x = 21 + -1x + x

Combine like terms: -1x + x = 0
-6 + 15x = 21 + 0
-6 + 15x = 21

Add '6' to each side of the equation.
-6 + 6 + 15x = 21 + 6

Combine like terms: -6 + 6 = 0
0 + 15x = 21 + 6
15x = 21 + 6

Combine like terms: 21 + 6 = 27
15x = 27

Divide each side by '15'.
x = 1.8

Simplifying
x = 1.8

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