(x+2)(3x-5)=3x(x-8)+15

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Solution for (x+2)(3x-5)=3x(x-8)+15 equation: 


Simplifying
(x + 2)(3x + -5) = 3x(x + -8) + 15

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

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

Multiply (2 + x) * (-5 + 3x)
(2(-5 + 3x) + x(-5 + 3x)) = 3x(x + -8) + 15
((-5 * 2 + 3x * 2) + x(-5 + 3x)) = 3x(x + -8) + 15
((-10 + 6x) + x(-5 + 3x)) = 3x(x + -8) + 15
(-10 + 6x + (-5 * x + 3x * x)) = 3x(x + -8) + 15
(-10 + 6x + (-5x + 3x2)) = 3x(x + -8) + 15

Combine like terms: 6x + -5x = 1x
(-10 + 1x + 3x2) = 3x(x + -8) + 15

Reorder the terms:
-10 + 1x + 3x2 = 3x(-8 + x) + 15
-10 + 1x + 3x2 = (-8 * 3x + x * 3x) + 15
-10 + 1x + 3x2 = (-24x + 3x2) + 15

Reorder the terms:
-10 + 1x + 3x2 = 15 + -24x + 3x2

Add '-3x2' to each side of the equation.
-10 + 1x + 3x2 + -3x2 = 15 + -24x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-10 + 1x + 0 = 15 + -24x + 3x2 + -3x2
-10 + 1x = 15 + -24x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-10 + 1x = 15 + -24x + 0
-10 + 1x = 15 + -24x

Solving
-10 + 1x = 15 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
-10 + 1x + 24x = 15 + -24x + 24x

Combine like terms: 1x + 24x = 25x
-10 + 25x = 15 + -24x + 24x

Combine like terms: -24x + 24x = 0
-10 + 25x = 15 + 0
-10 + 25x = 15

Add '10' to each side of the equation.
-10 + 10 + 25x = 15 + 10

Combine like terms: -10 + 10 = 0
0 + 25x = 15 + 10
25x = 15 + 10

Combine like terms: 15 + 10 = 25
25x = 25

Divide each side by '25'.
x = 1

Simplifying
x = 1

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