5(3x-2)=9x-8

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Solution for 5(3x-2)=9x-8 equation:


Simplifying
5(3x + -2) = 9x + -8

Reorder the terms:
5(-2 + 3x) = 9x + -8
(-2 * 5 + 3x * 5) = 9x + -8
(-10 + 15x) = 9x + -8

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

Solving
-10 + 15x = -8 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-10 + 15x + -9x = -8 + 9x + -9x

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

Combine like terms: 9x + -9x = 0
-10 + 6x = -8 + 0
-10 + 6x = -8

Add '10' to each side of the equation.
-10 + 10 + 6x = -8 + 10

Combine like terms: -10 + 10 = 0
0 + 6x = -8 + 10
6x = -8 + 10

Combine like terms: -8 + 10 = 2
6x = 2

Divide each side by '6'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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