5(3x-18)=30-4(6x-9)

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Solution for 5(3x-18)=30-4(6x-9) equation:


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

Reorder the terms:
5(-18 + 3x) = 30 + -4(6x + -9)
(-18 * 5 + 3x * 5) = 30 + -4(6x + -9)
(-90 + 15x) = 30 + -4(6x + -9)

Reorder the terms:
-90 + 15x = 30 + -4(-9 + 6x)
-90 + 15x = 30 + (-9 * -4 + 6x * -4)
-90 + 15x = 30 + (36 + -24x)

Combine like terms: 30 + 36 = 66
-90 + 15x = 66 + -24x

Solving
-90 + 15x = 66 + -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.
-90 + 15x + 24x = 66 + -24x + 24x

Combine like terms: 15x + 24x = 39x
-90 + 39x = 66 + -24x + 24x

Combine like terms: -24x + 24x = 0
-90 + 39x = 66 + 0
-90 + 39x = 66

Add '90' to each side of the equation.
-90 + 90 + 39x = 66 + 90

Combine like terms: -90 + 90 = 0
0 + 39x = 66 + 90
39x = 66 + 90

Combine like terms: 66 + 90 = 156
39x = 156

Divide each side by '39'.
x = 4

Simplifying
x = 4

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