3x+2(x-1)=9x+4

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Solution for 3x+2(x-1)=9x+4 equation:


Simplifying
3x + 2(x + -1) = 9x + 4

Reorder the terms:
3x + 2(-1 + x) = 9x + 4
3x + (-1 * 2 + x * 2) = 9x + 4
3x + (-2 + 2x) = 9x + 4

Reorder the terms:
-2 + 3x + 2x = 9x + 4

Combine like terms: 3x + 2x = 5x
-2 + 5x = 9x + 4

Reorder the terms:
-2 + 5x = 4 + 9x

Solving
-2 + 5x = 4 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-2 + 5x + -9x = 4 + 9x + -9x

Combine like terms: 5x + -9x = -4x
-2 + -4x = 4 + 9x + -9x

Combine like terms: 9x + -9x = 0
-2 + -4x = 4 + 0
-2 + -4x = 4

Add '2' to each side of the equation.
-2 + 2 + -4x = 4 + 2

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

Combine like terms: 4 + 2 = 6
-4x = 6

Divide each side by '-4'.
x = -1.5

Simplifying
x = -1.5

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