9x-3(x+1)=4x-6

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Solution for 9x-3(x+1)=4x-6 equation:


Simplifying
9x + -3(x + 1) = 4x + -6

Reorder the terms:
9x + -3(1 + x) = 4x + -6
9x + (1 * -3 + x * -3) = 4x + -6
9x + (-3 + -3x) = 4x + -6

Reorder the terms:
-3 + 9x + -3x = 4x + -6

Combine like terms: 9x + -3x = 6x
-3 + 6x = 4x + -6

Reorder the terms:
-3 + 6x = -6 + 4x

Solving
-3 + 6x = -6 + 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 + 6x + -4x = -6 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-3 + 2x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-3 + 2x = -6 + 0
-3 + 2x = -6

Add '3' to each side of the equation.
-3 + 3 + 2x = -6 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = -6 + 3
2x = -6 + 3

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

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5

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