6(x-2)+9(2x+1)=12

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Solution for 6(x-2)+9(2x+1)=12 equation:


Simplifying
6(x + -2) + 9(2x + 1) = 12

Reorder the terms:
6(-2 + x) + 9(2x + 1) = 12
(-2 * 6 + x * 6) + 9(2x + 1) = 12
(-12 + 6x) + 9(2x + 1) = 12

Reorder the terms:
-12 + 6x + 9(1 + 2x) = 12
-12 + 6x + (1 * 9 + 2x * 9) = 12
-12 + 6x + (9 + 18x) = 12

Reorder the terms:
-12 + 9 + 6x + 18x = 12

Combine like terms: -12 + 9 = -3
-3 + 6x + 18x = 12

Combine like terms: 6x + 18x = 24x
-3 + 24x = 12

Solving
-3 + 24x = 12

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 24x = 12 + 3

Combine like terms: -3 + 3 = 0
0 + 24x = 12 + 3
24x = 12 + 3

Combine like terms: 12 + 3 = 15
24x = 15

Divide each side by '24'.
x = 0.625

Simplifying
x = 0.625

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