12(2x-8)=4(5x-2x)+3(7-3x)

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Solution for 12(2x-8)=4(5x-2x)+3(7-3x) equation:


Simplifying
12(2x + -8) = 4(5x + -2x) + 3(7 + -3x)

Reorder the terms:
12(-8 + 2x) = 4(5x + -2x) + 3(7 + -3x)
(-8 * 12 + 2x * 12) = 4(5x + -2x) + 3(7 + -3x)
(-96 + 24x) = 4(5x + -2x) + 3(7 + -3x)

Combine like terms: 5x + -2x = 3x
-96 + 24x = 4(3x) + 3(7 + -3x)

Remove parenthesis around (3x)
-96 + 24x = 4 * 3x + 3(7 + -3x)

Multiply 4 * 3
-96 + 24x = 12x + 3(7 + -3x)
-96 + 24x = 12x + (7 * 3 + -3x * 3)
-96 + 24x = 12x + (21 + -9x)

Reorder the terms:
-96 + 24x = 21 + 12x + -9x

Combine like terms: 12x + -9x = 3x
-96 + 24x = 21 + 3x

Solving
-96 + 24x = 21 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-96 + 24x + -3x = 21 + 3x + -3x

Combine like terms: 24x + -3x = 21x
-96 + 21x = 21 + 3x + -3x

Combine like terms: 3x + -3x = 0
-96 + 21x = 21 + 0
-96 + 21x = 21

Add '96' to each side of the equation.
-96 + 96 + 21x = 21 + 96

Combine like terms: -96 + 96 = 0
0 + 21x = 21 + 96
21x = 21 + 96

Combine like terms: 21 + 96 = 117
21x = 117

Divide each side by '21'.
x = 5.571428571

Simplifying
x = 5.571428571

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