3*(2*x+5)=5*(3*x-7)

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Solution for 3*(2*x+5)=5*(3*x-7) equation: 


Simplifying
3(2x + 5) = 5(3x + -7)

Reorder the terms:
3(5 + 2x) = 5(3x + -7)
(5 * 3 + 2x * 3) = 5(3x + -7)
(15 + 6x) = 5(3x + -7)

Reorder the terms:
15 + 6x = 5(-7 + 3x)
15 + 6x = (-7 * 5 + 3x * 5)
15 + 6x = (-35 + 15x)

Solving
15 + 6x = -35 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
15 + 6x + -15x = -35 + 15x + -15x

Combine like terms: 6x + -15x = -9x
15 + -9x = -35 + 15x + -15x

Combine like terms: 15x + -15x = 0
15 + -9x = -35 + 0
15 + -9x = -35

Add '-15' to each side of the equation.
15 + -15 + -9x = -35 + -15

Combine like terms: 15 + -15 = 0
0 + -9x = -35 + -15
-9x = -35 + -15

Combine like terms: -35 + -15 = -50
-9x = -50

Divide each side by '-9'.
x = 5.555555556

Simplifying
x = 5.555555556

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