x(x-12)+x(x+2)+25=2x(x+5)-15

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Solution for x(x-12)+x(x+2)+25=2x(x+5)-15 equation: 


Simplifying
x(x + -12) + x(x + 2) + 25 = 2x(x + 5) + -15

Reorder the terms:
x(-12 + x) + x(x + 2) + 25 = 2x(x + 5) + -15
(-12 * x + x * x) + x(x + 2) + 25 = 2x(x + 5) + -15
(-12x + x2) + x(x + 2) + 25 = 2x(x + 5) + -15

Reorder the terms:
-12x + x2 + x(2 + x) + 25 = 2x(x + 5) + -15
-12x + x2 + (2 * x + x * x) + 25 = 2x(x + 5) + -15
-12x + x2 + (2x + x2) + 25 = 2x(x + 5) + -15

Reorder the terms:
25 + -12x + 2x + x2 + x2 = 2x(x + 5) + -15

Combine like terms: -12x + 2x = -10x
25 + -10x + x2 + x2 = 2x(x + 5) + -15

Combine like terms: x2 + x2 = 2x2
25 + -10x + 2x2 = 2x(x + 5) + -15

Reorder the terms:
25 + -10x + 2x2 = 2x(5 + x) + -15
25 + -10x + 2x2 = (5 * 2x + x * 2x) + -15
25 + -10x + 2x2 = (10x + 2x2) + -15

Reorder the terms:
25 + -10x + 2x2 = -15 + 10x + 2x2

Add '-2x2' to each side of the equation.
25 + -10x + 2x2 + -2x2 = -15 + 10x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
25 + -10x + 0 = -15 + 10x + 2x2 + -2x2
25 + -10x = -15 + 10x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
25 + -10x = -15 + 10x + 0
25 + -10x = -15 + 10x

Solving
25 + -10x = -15 + 10x

Solving for variable 'x'.

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

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

Combine like terms: -10x + -10x = -20x
25 + -20x = -15 + 10x + -10x

Combine like terms: 10x + -10x = 0
25 + -20x = -15 + 0
25 + -20x = -15

Add '-25' to each side of the equation.
25 + -25 + -20x = -15 + -25

Combine like terms: 25 + -25 = 0
0 + -20x = -15 + -25
-20x = -15 + -25

Combine like terms: -15 + -25 = -40
-20x = -40

Divide each side by '-20'.
x = 2

Simplifying
x = 2

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