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

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


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

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

Reorder the terms:
3 + 5x + -1x = x + 6

Combine like terms: 5x + -1x = 4x
3 + 4x = x + 6

Reorder the terms:
3 + 4x = 6 + x

Solving
3 + 4x = 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 + 4x + -1x = 6 + x + -1x

Combine like terms: 4x + -1x = 3x
3 + 3x = 6 + x + -1x

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

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

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

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

Divide each side by '3'.
x = 1

Simplifying
x = 1

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