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

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


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

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

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

Combine like terms: -10 + 16 = 6
6 + 6x = 3 + 5(2x + -5)

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

Combine like terms: 3 + -25 = -22
6 + 6x = -22 + 10x

Solving
6 + 6x = -22 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
6 + 6x + -10x = -22 + 10x + -10x

Combine like terms: 6x + -10x = -4x
6 + -4x = -22 + 10x + -10x

Combine like terms: 10x + -10x = 0
6 + -4x = -22 + 0
6 + -4x = -22

Add '-6' to each side of the equation.
6 + -6 + -4x = -22 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = -22 + -6
-4x = -22 + -6

Combine like terms: -22 + -6 = -28
-4x = -28

Divide each side by '-4'.
x = 7

Simplifying
x = 7

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