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

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


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

Reorder the terms:
2(-8 + 2x) = 4(5 + -2x) + 3(7 + -3x)
(-8 * 2 + 2x * 2) = 4(5 + -2x) + 3(7 + -3x)
(-16 + 4x) = 4(5 + -2x) + 3(7 + -3x)
-16 + 4x = (5 * 4 + -2x * 4) + 3(7 + -3x)
-16 + 4x = (20 + -8x) + 3(7 + -3x)
-16 + 4x = 20 + -8x + (7 * 3 + -3x * 3)
-16 + 4x = 20 + -8x + (21 + -9x)

Reorder the terms:
-16 + 4x = 20 + 21 + -8x + -9x

Combine like terms: 20 + 21 = 41
-16 + 4x = 41 + -8x + -9x

Combine like terms: -8x + -9x = -17x
-16 + 4x = 41 + -17x

Solving
-16 + 4x = 41 + -17x

Solving for variable 'x'.

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

Add '17x' to each side of the equation.
-16 + 4x + 17x = 41 + -17x + 17x

Combine like terms: 4x + 17x = 21x
-16 + 21x = 41 + -17x + 17x

Combine like terms: -17x + 17x = 0
-16 + 21x = 41 + 0
-16 + 21x = 41

Add '16' to each side of the equation.
-16 + 16 + 21x = 41 + 16

Combine like terms: -16 + 16 = 0
0 + 21x = 41 + 16
21x = 41 + 16

Combine like terms: 41 + 16 = 57
21x = 57

Divide each side by '21'.
x = 2.714285714

Simplifying
x = 2.714285714

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