4(x-1)=6x+9

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


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

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

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

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

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

Combine like terms: 6x + -6x = 0
-4 + -2x = 9 + 0
-4 + -2x = 9

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

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

Combine like terms: 9 + 4 = 13
-2x = 13

Divide each side by '-2'.
x = -6.5

Simplifying
x = -6.5

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