9x-2(x-8)=2(x-4)+3

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Solution for 9x-2(x-8)=2(x-4)+3 equation:


Simplifying
9x + -2(x + -8) = 2(x + -4) + 3

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

Reorder the terms:
16 + 9x + -2x = 2(x + -4) + 3

Combine like terms: 9x + -2x = 7x
16 + 7x = 2(x + -4) + 3

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

Reorder the terms:
16 + 7x = -8 + 3 + 2x

Combine like terms: -8 + 3 = -5
16 + 7x = -5 + 2x

Solving
16 + 7x = -5 + 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.
16 + 7x + -2x = -5 + 2x + -2x

Combine like terms: 7x + -2x = 5x
16 + 5x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
16 + 5x = -5 + 0
16 + 5x = -5

Add '-16' to each side of the equation.
16 + -16 + 5x = -5 + -16

Combine like terms: 16 + -16 = 0
0 + 5x = -5 + -16
5x = -5 + -16

Combine like terms: -5 + -16 = -21
5x = -21

Divide each side by '5'.
x = -4.2

Simplifying
x = -4.2

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