(x^2+4x-3)-(3x+1)=x^2-15

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Solution for (x^2+4x-3)-(3x+1)=x^2-15 equation:


Simplifying
(x2 + 4x + -3) + -1(3x + 1) = x2 + -15

Reorder the terms:
(-3 + 4x + x2) + -1(3x + 1) = x2 + -15

Remove parenthesis around (-3 + 4x + x2)
-3 + 4x + x2 + -1(3x + 1) = x2 + -15

Reorder the terms:
-3 + 4x + x2 + -1(1 + 3x) = x2 + -15
-3 + 4x + x2 + (1 * -1 + 3x * -1) = x2 + -15
-3 + 4x + x2 + (-1 + -3x) = x2 + -15

Reorder the terms:
-3 + -1 + 4x + -3x + x2 = x2 + -15

Combine like terms: -3 + -1 = -4
-4 + 4x + -3x + x2 = x2 + -15

Combine like terms: 4x + -3x = 1x
-4 + 1x + x2 = x2 + -15

Reorder the terms:
-4 + 1x + x2 = -15 + x2

Add '-1x2' to each side of the equation.
-4 + 1x + x2 + -1x2 = -15 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-4 + 1x + 0 = -15 + x2 + -1x2
-4 + 1x = -15 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-4 + 1x = -15 + 0
-4 + 1x = -15

Solving
-4 + 1x = -15

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 1x = -15 + 4

Combine like terms: -4 + 4 = 0
0 + 1x = -15 + 4
1x = -15 + 4

Combine like terms: -15 + 4 = -11
1x = -11

Divide each side by '1'.
x = -11

Simplifying
x = -11

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