3x+1=2x-9

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


Simplifying
3x + 1 = 2x + -9

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

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

Solving
1 + 3x = -9 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
1 + 3x + -2x = -9 + 2x + -2x

Combine like terms: 3x + -2x = 1x
1 + 1x = -9 + 2x + -2x

Combine like terms: 2x + -2x = 0
1 + 1x = -9 + 0
1 + 1x = -9

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

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

Combine like terms: -9 + -1 = -10
1x = -10

Divide each side by '1'.
x = -10

Simplifying
x = -10

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