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

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


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

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

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

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

Solving
6 + -2x = -3 + 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.
6 + -2x + -1x = -3 + x + -1x

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

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

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

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

Combine like terms: -3 + -6 = -9
-3x = -9

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

Simplifying
x = 3

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