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

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


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

Reorder the terms:
5x + -3(-8 + 3x) = 2(3x + -8) + 5x
5x + (-8 * -3 + 3x * -3) = 2(3x + -8) + 5x
5x + (24 + -9x) = 2(3x + -8) + 5x

Reorder the terms:
24 + 5x + -9x = 2(3x + -8) + 5x

Combine like terms: 5x + -9x = -4x
24 + -4x = 2(3x + -8) + 5x

Reorder the terms:
24 + -4x = 2(-8 + 3x) + 5x
24 + -4x = (-8 * 2 + 3x * 2) + 5x
24 + -4x = (-16 + 6x) + 5x

Combine like terms: 6x + 5x = 11x
24 + -4x = -16 + 11x

Solving
24 + -4x = -16 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
24 + -4x + -11x = -16 + 11x + -11x

Combine like terms: -4x + -11x = -15x
24 + -15x = -16 + 11x + -11x

Combine like terms: 11x + -11x = 0
24 + -15x = -16 + 0
24 + -15x = -16

Add '-24' to each side of the equation.
24 + -24 + -15x = -16 + -24

Combine like terms: 24 + -24 = 0
0 + -15x = -16 + -24
-15x = -16 + -24

Combine like terms: -16 + -24 = -40
-15x = -40

Divide each side by '-15'.
x = 2.666666667

Simplifying
x = 2.666666667

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