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

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


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

Reorder the terms:
5(3 + x) = 3(2x) + -1
(3 * 5 + x * 5) = 3(2x) + -1
(15 + 5x) = 3(2x) + -1

Remove parenthesis around (2x)
15 + 5x = 3 * 2x + -1

Multiply 3 * 2
15 + 5x = 6x + -1

Reorder the terms:
15 + 5x = -1 + 6x

Solving
15 + 5x = -1 + 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.
15 + 5x + -6x = -1 + 6x + -6x

Combine like terms: 5x + -6x = -1x
15 + -1x = -1 + 6x + -6x

Combine like terms: 6x + -6x = 0
15 + -1x = -1 + 0
15 + -1x = -1

Add '-15' to each side of the equation.
15 + -15 + -1x = -1 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = -1 + -15
-1x = -1 + -15

Combine like terms: -1 + -15 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16

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