3(2x+1)-(x-5)-5(5-2x)=16

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Solution for 3(2x+1)-(x-5)-5(5-2x)=16 equation:


Simplifying
3(2x + 1) + -1(x + -5) + -5(5 + -2x) = 16

Reorder the terms:
3(1 + 2x) + -1(x + -5) + -5(5 + -2x) = 16
(1 * 3 + 2x * 3) + -1(x + -5) + -5(5 + -2x) = 16
(3 + 6x) + -1(x + -5) + -5(5 + -2x) = 16

Reorder the terms:
3 + 6x + -1(-5 + x) + -5(5 + -2x) = 16
3 + 6x + (-5 * -1 + x * -1) + -5(5 + -2x) = 16
3 + 6x + (5 + -1x) + -5(5 + -2x) = 16
3 + 6x + 5 + -1x + (5 * -5 + -2x * -5) = 16
3 + 6x + 5 + -1x + (-25 + 10x) = 16

Reorder the terms:
3 + 5 + -25 + 6x + -1x + 10x = 16

Combine like terms: 3 + 5 = 8
8 + -25 + 6x + -1x + 10x = 16

Combine like terms: 8 + -25 = -17
-17 + 6x + -1x + 10x = 16

Combine like terms: 6x + -1x = 5x
-17 + 5x + 10x = 16

Combine like terms: 5x + 10x = 15x
-17 + 15x = 16

Solving
-17 + 15x = 16

Solving for variable 'x'.

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

Add '17' to each side of the equation.
-17 + 17 + 15x = 16 + 17

Combine like terms: -17 + 17 = 0
0 + 15x = 16 + 17
15x = 16 + 17

Combine like terms: 16 + 17 = 33
15x = 33

Divide each side by '15'.
x = 2.2

Simplifying
x = 2.2

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