4(6x+3)=9x-2

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Solution for 4(6x+3)=9x-2 equation:


Simplifying
4(6x + 3) = 9x + -2

Reorder the terms:
4(3 + 6x) = 9x + -2
(3 * 4 + 6x * 4) = 9x + -2
(12 + 24x) = 9x + -2

Reorder the terms:
12 + 24x = -2 + 9x

Solving
12 + 24x = -2 + 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.
12 + 24x + -9x = -2 + 9x + -9x

Combine like terms: 24x + -9x = 15x
12 + 15x = -2 + 9x + -9x

Combine like terms: 9x + -9x = 0
12 + 15x = -2 + 0
12 + 15x = -2

Add '-12' to each side of the equation.
12 + -12 + 15x = -2 + -12

Combine like terms: 12 + -12 = 0
0 + 15x = -2 + -12
15x = -2 + -12

Combine like terms: -2 + -12 = -14
15x = -14

Divide each side by '15'.
x = -0.9333333333

Simplifying
x = -0.9333333333

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