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

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


Simplifying
5(2 + -3x) + 5x = 3(2x + 5)
(2 * 5 + -3x * 5) + 5x = 3(2x + 5)
(10 + -15x) + 5x = 3(2x + 5)

Combine like terms: -15x + 5x = -10x
10 + -10x = 3(2x + 5)

Reorder the terms:
10 + -10x = 3(5 + 2x)
10 + -10x = (5 * 3 + 2x * 3)
10 + -10x = (15 + 6x)

Solving
10 + -10x = 15 + 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.
10 + -10x + -6x = 15 + 6x + -6x

Combine like terms: -10x + -6x = -16x
10 + -16x = 15 + 6x + -6x

Combine like terms: 6x + -6x = 0
10 + -16x = 15 + 0
10 + -16x = 15

Add '-10' to each side of the equation.
10 + -10 + -16x = 15 + -10

Combine like terms: 10 + -10 = 0
0 + -16x = 15 + -10
-16x = 15 + -10

Combine like terms: 15 + -10 = 5
-16x = 5

Divide each side by '-16'.
x = -0.3125

Simplifying
x = -0.3125

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