5x-3=6(4x+9)

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Solution for 5x-3=6(4x+9) equation:


Simplifying
5x + -3 = 6(4x + 9)

Reorder the terms:
-3 + 5x = 6(4x + 9)

Reorder the terms:
-3 + 5x = 6(9 + 4x)
-3 + 5x = (9 * 6 + 4x * 6)
-3 + 5x = (54 + 24x)

Solving
-3 + 5x = 54 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
-3 + 5x + -24x = 54 + 24x + -24x

Combine like terms: 5x + -24x = -19x
-3 + -19x = 54 + 24x + -24x

Combine like terms: 24x + -24x = 0
-3 + -19x = 54 + 0
-3 + -19x = 54

Add '3' to each side of the equation.
-3 + 3 + -19x = 54 + 3

Combine like terms: -3 + 3 = 0
0 + -19x = 54 + 3
-19x = 54 + 3

Combine like terms: 54 + 3 = 57
-19x = 57

Divide each side by '-19'.
x = -3

Simplifying
x = -3

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