3x(x-1)-5(2-x)-7=x(3x-5)-38

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Solution for 3x(x-1)-5(2-x)-7=x(3x-5)-38 equation: 


Simplifying
3x(x + -1) + -5(2 + -1x) + -7 = x(3x + -5) + -38

Reorder the terms:
3x(-1 + x) + -5(2 + -1x) + -7 = x(3x + -5) + -38
(-1 * 3x + x * 3x) + -5(2 + -1x) + -7 = x(3x + -5) + -38
(-3x + 3x2) + -5(2 + -1x) + -7 = x(3x + -5) + -38
-3x + 3x2 + (2 * -5 + -1x * -5) + -7 = x(3x + -5) + -38
-3x + 3x2 + (-10 + 5x) + -7 = x(3x + -5) + -38

Reorder the terms:
-10 + -7 + -3x + 5x + 3x2 = x(3x + -5) + -38

Combine like terms: -10 + -7 = -17
-17 + -3x + 5x + 3x2 = x(3x + -5) + -38

Combine like terms: -3x + 5x = 2x
-17 + 2x + 3x2 = x(3x + -5) + -38

Reorder the terms:
-17 + 2x + 3x2 = x(-5 + 3x) + -38
-17 + 2x + 3x2 = (-5 * x + 3x * x) + -38
-17 + 2x + 3x2 = (-5x + 3x2) + -38

Reorder the terms:
-17 + 2x + 3x2 = -38 + -5x + 3x2

Add '-3x2' to each side of the equation.
-17 + 2x + 3x2 + -3x2 = -38 + -5x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-17 + 2x + 0 = -38 + -5x + 3x2 + -3x2
-17 + 2x = -38 + -5x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-17 + 2x = -38 + -5x + 0
-17 + 2x = -38 + -5x

Solving
-17 + 2x = -38 + -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.
-17 + 2x + 5x = -38 + -5x + 5x

Combine like terms: 2x + 5x = 7x
-17 + 7x = -38 + -5x + 5x

Combine like terms: -5x + 5x = 0
-17 + 7x = -38 + 0
-17 + 7x = -38

Add '17' to each side of the equation.
-17 + 17 + 7x = -38 + 17

Combine like terms: -17 + 17 = 0
0 + 7x = -38 + 17
7x = -38 + 17

Combine like terms: -38 + 17 = -21
7x = -21

Divide each side by '7'.
x = -3

Simplifying
x = -3

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