5(6-3x)+18=-9-3(4-2x)

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Solution for 5(6-3x)+18=-9-3(4-2x) equation: 


Simplifying
5(6 + -3x) + 18 = -9 + -3(4 + -2x)
(6 * 5 + -3x * 5) + 18 = -9 + -3(4 + -2x)
(30 + -15x) + 18 = -9 + -3(4 + -2x)

Reorder the terms:
30 + 18 + -15x = -9 + -3(4 + -2x)

Combine like terms: 30 + 18 = 48
48 + -15x = -9 + -3(4 + -2x)
48 + -15x = -9 + (4 * -3 + -2x * -3)
48 + -15x = -9 + (-12 + 6x)

Combine like terms: -9 + -12 = -21
48 + -15x = -21 + 6x

Solving
48 + -15x = -21 + 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.
48 + -15x + -6x = -21 + 6x + -6x

Combine like terms: -15x + -6x = -21x
48 + -21x = -21 + 6x + -6x

Combine like terms: 6x + -6x = 0
48 + -21x = -21 + 0
48 + -21x = -21

Add '-48' to each side of the equation.
48 + -48 + -21x = -21 + -48

Combine like terms: 48 + -48 = 0
0 + -21x = -21 + -48
-21x = -21 + -48

Combine like terms: -21 + -48 = -69
-21x = -69

Divide each side by '-21'.
x = 3.285714286

Simplifying
x = 3.285714286

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