8x-3(2x-3)=5x+13

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Solution for 8x-3(2x-3)=5x+13 equation:


Simplifying
8x + -3(2x + -3) = 5x + 13

Reorder the terms:
8x + -3(-3 + 2x) = 5x + 13
8x + (-3 * -3 + 2x * -3) = 5x + 13
8x + (9 + -6x) = 5x + 13

Reorder the terms:
9 + 8x + -6x = 5x + 13

Combine like terms: 8x + -6x = 2x
9 + 2x = 5x + 13

Reorder the terms:
9 + 2x = 13 + 5x

Solving
9 + 2x = 13 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
9 + 2x + -5x = 13 + 5x + -5x

Combine like terms: 2x + -5x = -3x
9 + -3x = 13 + 5x + -5x

Combine like terms: 5x + -5x = 0
9 + -3x = 13 + 0
9 + -3x = 13

Add '-9' to each side of the equation.
9 + -9 + -3x = 13 + -9

Combine like terms: 9 + -9 = 0
0 + -3x = 13 + -9
-3x = 13 + -9

Combine like terms: 13 + -9 = 4
-3x = 4

Divide each side by '-3'.
x = -1.333333333

Simplifying
x = -1.333333333

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