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

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


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

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

Combine like terms: 2x + -7x = -5x
8 + -5x = 3 + -2(x + -8)

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

Combine like terms: 3 + 16 = 19
8 + -5x = 19 + -2x

Solving
8 + -5x = 19 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
8 + -5x + 2x = 19 + -2x + 2x

Combine like terms: -5x + 2x = -3x
8 + -3x = 19 + -2x + 2x

Combine like terms: -2x + 2x = 0
8 + -3x = 19 + 0
8 + -3x = 19

Add '-8' to each side of the equation.
8 + -8 + -3x = 19 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = 19 + -8
-3x = 19 + -8

Combine like terms: 19 + -8 = 11
-3x = 11

Divide each side by '-3'.
x = -3.666666667

Simplifying
x = -3.666666667

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