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

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


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

Reorder the terms:
4x + -3(-8 + 3x) = 4(3x + -7) + 8x
4x + (-8 * -3 + 3x * -3) = 4(3x + -7) + 8x
4x + (24 + -9x) = 4(3x + -7) + 8x

Reorder the terms:
24 + 4x + -9x = 4(3x + -7) + 8x

Combine like terms: 4x + -9x = -5x
24 + -5x = 4(3x + -7) + 8x

Reorder the terms:
24 + -5x = 4(-7 + 3x) + 8x
24 + -5x = (-7 * 4 + 3x * 4) + 8x
24 + -5x = (-28 + 12x) + 8x

Combine like terms: 12x + 8x = 20x
24 + -5x = -28 + 20x

Solving
24 + -5x = -28 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
24 + -5x + -20x = -28 + 20x + -20x

Combine like terms: -5x + -20x = -25x
24 + -25x = -28 + 20x + -20x

Combine like terms: 20x + -20x = 0
24 + -25x = -28 + 0
24 + -25x = -28

Add '-24' to each side of the equation.
24 + -24 + -25x = -28 + -24

Combine like terms: 24 + -24 = 0
0 + -25x = -28 + -24
-25x = -28 + -24

Combine like terms: -28 + -24 = -52
-25x = -52

Divide each side by '-25'.
x = 2.08

Simplifying
x = 2.08

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