12(-4+6x)=13x+23(x+9)

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Solution for 12(-4+6x)=13x+23(x+9) equation: 


Simplifying
12(-4 + 6x) = 13x + 23(x + 9)
(-4 * 12 + 6x * 12) = 13x + 23(x + 9)
(-48 + 72x) = 13x + 23(x + 9)

Reorder the terms:
-48 + 72x = 13x + 23(9 + x)
-48 + 72x = 13x + (9 * 23 + x * 23)
-48 + 72x = 13x + (207 + 23x)

Reorder the terms:
-48 + 72x = 207 + 13x + 23x

Combine like terms: 13x + 23x = 36x
-48 + 72x = 207 + 36x

Solving
-48 + 72x = 207 + 36x

Solving for variable 'x'.

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

Add '-36x' to each side of the equation.
-48 + 72x + -36x = 207 + 36x + -36x

Combine like terms: 72x + -36x = 36x
-48 + 36x = 207 + 36x + -36x

Combine like terms: 36x + -36x = 0
-48 + 36x = 207 + 0
-48 + 36x = 207

Add '48' to each side of the equation.
-48 + 48 + 36x = 207 + 48

Combine like terms: -48 + 48 = 0
0 + 36x = 207 + 48
36x = 207 + 48

Combine like terms: 207 + 48 = 255
36x = 255

Divide each side by '36'.
x = 7.083333333

Simplifying
x = 7.083333333

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