5x-(2x+3)=x-6

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Solution for 5x-(2x+3)=x-6 equation:


Simplifying
5x + -1(2x + 3) = x + -6

Reorder the terms:
5x + -1(3 + 2x) = x + -6
5x + (3 * -1 + 2x * -1) = x + -6
5x + (-3 + -2x) = x + -6

Reorder the terms:
-3 + 5x + -2x = x + -6

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

Reorder the terms:
-3 + 3x = -6 + x

Solving
-3 + 3x = -6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-3 + 3x + -1x = -6 + x + -1x

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

Combine like terms: x + -1x = 0
-3 + 2x = -6 + 0
-3 + 2x = -6

Add '3' to each side of the equation.
-3 + 3 + 2x = -6 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = -6 + 3
2x = -6 + 3

Combine like terms: -6 + 3 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5

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