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

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


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

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

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

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

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

Add '6' to each side of the equation.
-6 + 6 + 2x = -6 + 6 + 5x

Combine like terms: -6 + 6 = 0
0 + 2x = -6 + 6 + 5x
2x = -6 + 6 + 5x

Combine like terms: -6 + 6 = 0
2x = 0 + 5x
2x = 5x

Solving
2x = 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.
2x + -5x = 5x + -5x

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

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

Divide each side by '-3'.
x = 0

Simplifying
x = 0

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