3x=5(x+2)-6

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


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

Reorder the terms:
3x = 5(2 + x) + -6
3x = (2 * 5 + x * 5) + -6
3x = (10 + 5x) + -6

Reorder the terms:
3x = 10 + -6 + 5x

Combine like terms: 10 + -6 = 4
3x = 4 + 5x

Solving
3x = 4 + 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.
3x + -5x = 4 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-2x = 4 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2x = 4 + 0
-2x = 4

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

Simplifying
x = -2

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