4(x-3)=6x-9

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


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

Reorder the terms:
4(-3 + x) = 6x + -9
(-3 * 4 + x * 4) = 6x + -9
(-12 + 4x) = 6x + -9

Reorder the terms:
-12 + 4x = -9 + 6x

Solving
-12 + 4x = -9 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-12 + 4x + -6x = -9 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-12 + -2x = -9 + 6x + -6x

Combine like terms: 6x + -6x = 0
-12 + -2x = -9 + 0
-12 + -2x = -9

Add '12' to each side of the equation.
-12 + 12 + -2x = -9 + 12

Combine like terms: -12 + 12 = 0
0 + -2x = -9 + 12
-2x = -9 + 12

Combine like terms: -9 + 12 = 3
-2x = 3

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

Simplifying
x = -1.5

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