5(3x-2)-3(3x+2)=8

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Solution for 5(3x-2)-3(3x+2)=8 equation:


Simplifying
5(3x + -2) + -3(3x + 2) = 8

Reorder the terms:
5(-2 + 3x) + -3(3x + 2) = 8
(-2 * 5 + 3x * 5) + -3(3x + 2) = 8
(-10 + 15x) + -3(3x + 2) = 8

Reorder the terms:
-10 + 15x + -3(2 + 3x) = 8
-10 + 15x + (2 * -3 + 3x * -3) = 8
-10 + 15x + (-6 + -9x) = 8

Reorder the terms:
-10 + -6 + 15x + -9x = 8

Combine like terms: -10 + -6 = -16
-16 + 15x + -9x = 8

Combine like terms: 15x + -9x = 6x
-16 + 6x = 8

Solving
-16 + 6x = 8

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + 6x = 8 + 16

Combine like terms: -16 + 16 = 0
0 + 6x = 8 + 16
6x = 8 + 16

Combine like terms: 8 + 16 = 24
6x = 24

Divide each side by '6'.
x = 4

Simplifying
x = 4

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