15-(x-6)=5x-3

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


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

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

Combine like terms: 15 + 6 = 21
21 + -1x = 5x + -3

Reorder the terms:
21 + -1x = -3 + 5x

Solving
21 + -1x = -3 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
21 + -1x + -5x = -3 + 5x + -5x

Combine like terms: -1x + -5x = -6x
21 + -6x = -3 + 5x + -5x

Combine like terms: 5x + -5x = 0
21 + -6x = -3 + 0
21 + -6x = -3

Add '-21' to each side of the equation.
21 + -21 + -6x = -3 + -21

Combine like terms: 21 + -21 = 0
0 + -6x = -3 + -21
-6x = -3 + -21

Combine like terms: -3 + -21 = -24
-6x = -24

Divide each side by '-6'.
x = 4

Simplifying
x = 4

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