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

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


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

Reorder the terms:
5 + 3(-6 + 5x) = 9 + -3(2x + 1)
5 + (-6 * 3 + 5x * 3) = 9 + -3(2x + 1)
5 + (-18 + 15x) = 9 + -3(2x + 1)

Combine like terms: 5 + -18 = -13
-13 + 15x = 9 + -3(2x + 1)

Reorder the terms:
-13 + 15x = 9 + -3(1 + 2x)
-13 + 15x = 9 + (1 * -3 + 2x * -3)
-13 + 15x = 9 + (-3 + -6x)

Combine like terms: 9 + -3 = 6
-13 + 15x = 6 + -6x

Solving
-13 + 15x = 6 + -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.
-13 + 15x + 6x = 6 + -6x + 6x

Combine like terms: 15x + 6x = 21x
-13 + 21x = 6 + -6x + 6x

Combine like terms: -6x + 6x = 0
-13 + 21x = 6 + 0
-13 + 21x = 6

Add '13' to each side of the equation.
-13 + 13 + 21x = 6 + 13

Combine like terms: -13 + 13 = 0
0 + 21x = 6 + 13
21x = 6 + 13

Combine like terms: 6 + 13 = 19
21x = 19

Divide each side by '21'.
x = 0.9047619048

Simplifying
x = 0.9047619048

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