3(x-5)-16=2(x-8)3

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Solution for 3(x-5)-16=2(x-8)3 equation:


Simplifying
3(x + -5) + -16 = 2(x + -8) * 3

Reorder the terms:
3(-5 + x) + -16 = 2(x + -8) * 3
(-5 * 3 + x * 3) + -16 = 2(x + -8) * 3
(-15 + 3x) + -16 = 2(x + -8) * 3

Reorder the terms:
-15 + -16 + 3x = 2(x + -8) * 3

Combine like terms: -15 + -16 = -31
-31 + 3x = 2(x + -8) * 3

Reorder the terms:
-31 + 3x = 2(-8 + x) * 3

Reorder the terms for easier multiplication:
-31 + 3x = 2 * 3(-8 + x)

Multiply 2 * 3
-31 + 3x = 6(-8 + x)
-31 + 3x = (-8 * 6 + x * 6)
-31 + 3x = (-48 + 6x)

Solving
-31 + 3x = -48 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-31 + 3x + -6x = -48 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-31 + -3x = -48 + 6x + -6x

Combine like terms: 6x + -6x = 0
-31 + -3x = -48 + 0
-31 + -3x = -48

Add '31' to each side of the equation.
-31 + 31 + -3x = -48 + 31

Combine like terms: -31 + 31 = 0
0 + -3x = -48 + 31
-3x = -48 + 31

Combine like terms: -48 + 31 = -17
-3x = -17

Divide each side by '-3'.
x = 5.666666667

Simplifying
x = 5.666666667

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