3(x-1)+2x=3x+x+(-9)

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Solution for 3(x-1)+2x=3x+x+(-9) equation:


Simplifying
3(x + -1) + 2x = 3x + x + (-9)

Reorder the terms:
3(-1 + x) + 2x = 3x + x + (-9)
(-1 * 3 + x * 3) + 2x = 3x + x + (-9)
(-3 + 3x) + 2x = 3x + x + (-9)

Combine like terms: 3x + 2x = 5x
-3 + 5x = 3x + x + (-9)
-3 + 5x = 3x + x + -9

Reorder the terms:
-3 + 5x = -9 + 3x + x

Combine like terms: 3x + x = 4x
-3 + 5x = -9 + 4x

Solving
-3 + 5x = -9 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-3 + 5x + -4x = -9 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-3 + 1x = -9 + 4x + -4x

Combine like terms: 4x + -4x = 0
-3 + 1x = -9 + 0
-3 + 1x = -9

Add '3' to each side of the equation.
-3 + 3 + 1x = -9 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = -9 + 3
1x = -9 + 3

Combine like terms: -9 + 3 = -6
1x = -6

Divide each side by '1'.
x = -6

Simplifying
x = -6

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