5[4x+6]=6x+9

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Solution for 5[4x+6]=6x+9 equation:


Simplifying
5[4x + 6] = 6x + 9

Reorder the terms:
5[6 + 4x] = 6x + 9
[6 * 5 + 4x * 5] = 6x + 9
[30 + 20x] = 6x + 9

Reorder the terms:
30 + 20x = 9 + 6x

Solving
30 + 20x = 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.
30 + 20x + -6x = 9 + 6x + -6x

Combine like terms: 20x + -6x = 14x
30 + 14x = 9 + 6x + -6x

Combine like terms: 6x + -6x = 0
30 + 14x = 9 + 0
30 + 14x = 9

Add '-30' to each side of the equation.
30 + -30 + 14x = 9 + -30

Combine like terms: 30 + -30 = 0
0 + 14x = 9 + -30
14x = 9 + -30

Combine like terms: 9 + -30 = -21
14x = -21

Divide each side by '14'.
x = -1.5

Simplifying
x = -1.5

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