4x-3(2x-8)=3(3x-7)+6x

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Solution for 4x-3(2x-8)=3(3x-7)+6x equation:


Simplifying
4x + -3(2x + -8) = 3(3x + -7) + 6x

Reorder the terms:
4x + -3(-8 + 2x) = 3(3x + -7) + 6x
4x + (-8 * -3 + 2x * -3) = 3(3x + -7) + 6x
4x + (24 + -6x) = 3(3x + -7) + 6x

Reorder the terms:
24 + 4x + -6x = 3(3x + -7) + 6x

Combine like terms: 4x + -6x = -2x
24 + -2x = 3(3x + -7) + 6x

Reorder the terms:
24 + -2x = 3(-7 + 3x) + 6x
24 + -2x = (-7 * 3 + 3x * 3) + 6x
24 + -2x = (-21 + 9x) + 6x

Combine like terms: 9x + 6x = 15x
24 + -2x = -21 + 15x

Solving
24 + -2x = -21 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
24 + -2x + -15x = -21 + 15x + -15x

Combine like terms: -2x + -15x = -17x
24 + -17x = -21 + 15x + -15x

Combine like terms: 15x + -15x = 0
24 + -17x = -21 + 0
24 + -17x = -21

Add '-24' to each side of the equation.
24 + -24 + -17x = -21 + -24

Combine like terms: 24 + -24 = 0
0 + -17x = -21 + -24
-17x = -21 + -24

Combine like terms: -21 + -24 = -45
-17x = -45

Divide each side by '-17'.
x = 2.647058824

Simplifying
x = 2.647058824

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