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

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


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

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

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

Combine like terms: -2 + 9 = 7
7 + 2x = 3x + -1

Reorder the terms:
7 + 2x = -1 + 3x

Solving
7 + 2x = -1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
7 + 2x + -3x = -1 + 3x + -3x

Combine like terms: 2x + -3x = -1x
7 + -1x = -1 + 3x + -3x

Combine like terms: 3x + -3x = 0
7 + -1x = -1 + 0
7 + -1x = -1

Add '-7' to each side of the equation.
7 + -7 + -1x = -1 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = -1 + -7
-1x = -1 + -7

Combine like terms: -1 + -7 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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