2(9x+3)-4(2x-8)=16

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Solution for 2(9x+3)-4(2x-8)=16 equation:


Simplifying
2(9x + 3) + -4(2x + -8) = 16

Reorder the terms:
2(3 + 9x) + -4(2x + -8) = 16
(3 * 2 + 9x * 2) + -4(2x + -8) = 16
(6 + 18x) + -4(2x + -8) = 16

Reorder the terms:
6 + 18x + -4(-8 + 2x) = 16
6 + 18x + (-8 * -4 + 2x * -4) = 16
6 + 18x + (32 + -8x) = 16

Reorder the terms:
6 + 32 + 18x + -8x = 16

Combine like terms: 6 + 32 = 38
38 + 18x + -8x = 16

Combine like terms: 18x + -8x = 10x
38 + 10x = 16

Solving
38 + 10x = 16

Solving for variable 'x'.

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

Add '-38' to each side of the equation.
38 + -38 + 10x = 16 + -38

Combine like terms: 38 + -38 = 0
0 + 10x = 16 + -38
10x = 16 + -38

Combine like terms: 16 + -38 = -22
10x = -22

Divide each side by '10'.
x = -2.2

Simplifying
x = -2.2

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