4(4x+6)=9x+12

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


Simplifying
4(4x + 6) = 9x + 12

Reorder the terms:
4(6 + 4x) = 9x + 12
(6 * 4 + 4x * 4) = 9x + 12
(24 + 16x) = 9x + 12

Reorder the terms:
24 + 16x = 12 + 9x

Solving
24 + 16x = 12 + 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.
24 + 16x + -9x = 12 + 9x + -9x

Combine like terms: 16x + -9x = 7x
24 + 7x = 12 + 9x + -9x

Combine like terms: 9x + -9x = 0
24 + 7x = 12 + 0
24 + 7x = 12

Add '-24' to each side of the equation.
24 + -24 + 7x = 12 + -24

Combine like terms: 24 + -24 = 0
0 + 7x = 12 + -24
7x = 12 + -24

Combine like terms: 12 + -24 = -12
7x = -12

Divide each side by '7'.
x = -1.714285714

Simplifying
x = -1.714285714

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