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

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


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

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

Reorder the terms:
24 + 16x = 9 + 6x

Solving
24 + 16x = 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.
24 + 16x + -6x = 9 + 6x + -6x

Combine like terms: 16x + -6x = 10x
24 + 10x = 9 + 6x + -6x

Combine like terms: 6x + -6x = 0
24 + 10x = 9 + 0
24 + 10x = 9

Add '-24' to each side of the equation.
24 + -24 + 10x = 9 + -24

Combine like terms: 24 + -24 = 0
0 + 10x = 9 + -24
10x = 9 + -24

Combine like terms: 9 + -24 = -15
10x = -15

Divide each side by '10'.
x = -1.5

Simplifying
x = -1.5

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