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

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


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

Reorder the terms:
6(-3 + 4x) = 9(x + 4) + 6
(-3 * 6 + 4x * 6) = 9(x + 4) + 6
(-18 + 24x) = 9(x + 4) + 6

Reorder the terms:
-18 + 24x = 9(4 + x) + 6
-18 + 24x = (4 * 9 + x * 9) + 6
-18 + 24x = (36 + 9x) + 6

Reorder the terms:
-18 + 24x = 36 + 6 + 9x

Combine like terms: 36 + 6 = 42
-18 + 24x = 42 + 9x

Solving
-18 + 24x = 42 + 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.
-18 + 24x + -9x = 42 + 9x + -9x

Combine like terms: 24x + -9x = 15x
-18 + 15x = 42 + 9x + -9x

Combine like terms: 9x + -9x = 0
-18 + 15x = 42 + 0
-18 + 15x = 42

Add '18' to each side of the equation.
-18 + 18 + 15x = 42 + 18

Combine like terms: -18 + 18 = 0
0 + 15x = 42 + 18
15x = 42 + 18

Combine like terms: 42 + 18 = 60
15x = 60

Divide each side by '15'.
x = 4

Simplifying
x = 4

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