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

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


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

Reorder the terms:
3(5 + 2x) = 5(x + 1)
(5 * 3 + 2x * 3) = 5(x + 1)
(15 + 6x) = 5(x + 1)

Reorder the terms:
15 + 6x = 5(1 + x)
15 + 6x = (1 * 5 + x * 5)
15 + 6x = (5 + 5x)

Solving
15 + 6x = 5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
15 + 6x + -5x = 5 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
15 + 1x = 5 + 0
15 + 1x = 5

Add '-15' to each side of the equation.
15 + -15 + 1x = 5 + -15

Combine like terms: 15 + -15 = 0
0 + 1x = 5 + -15
1x = 5 + -15

Combine like terms: 5 + -15 = -10
1x = -10

Divide each side by '1'.
x = -10

Simplifying
x = -10

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