5*9(x-2)=3*6(x+1)

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Solution for 5*9(x-2)=3*6(x+1) equation:


Simplifying
5 * 9(x + -2) = 3 * 6(x + 1)

Reorder the terms:
5 * 9(-2 + x) = 3 * 6(x + 1)

Multiply 5 * 9
45(-2 + x) = 3 * 6(x + 1)
(-2 * 45 + x * 45) = 3 * 6(x + 1)
(-90 + 45x) = 3 * 6(x + 1)

Reorder the terms:
-90 + 45x = 3 * 6(1 + x)

Multiply 3 * 6
-90 + 45x = 18(1 + x)
-90 + 45x = (1 * 18 + x * 18)
-90 + 45x = (18 + 18x)

Solving
-90 + 45x = 18 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
-90 + 45x + -18x = 18 + 18x + -18x

Combine like terms: 45x + -18x = 27x
-90 + 27x = 18 + 18x + -18x

Combine like terms: 18x + -18x = 0
-90 + 27x = 18 + 0
-90 + 27x = 18

Add '90' to each side of the equation.
-90 + 90 + 27x = 18 + 90

Combine like terms: -90 + 90 = 0
0 + 27x = 18 + 90
27x = 18 + 90

Combine like terms: 18 + 90 = 108
27x = 108

Divide each side by '27'.
x = 4

Simplifying
x = 4

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