-3x^2+6x-12-10x+13=-14x+13-3x^2+5

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Solution for -3x^2+6x-12-10x+13=-14x+13-3x^2+5 equation:


Simplifying
-3x2 + 6x + -12 + -10x + 13 = -14x + 13 + -3x2 + 5

Reorder the terms:
-12 + 13 + 6x + -10x + -3x2 = -14x + 13 + -3x2 + 5

Combine like terms: -12 + 13 = 1
1 + 6x + -10x + -3x2 = -14x + 13 + -3x2 + 5

Combine like terms: 6x + -10x = -4x
1 + -4x + -3x2 = -14x + 13 + -3x2 + 5

Reorder the terms:
1 + -4x + -3x2 = 13 + 5 + -14x + -3x2

Combine like terms: 13 + 5 = 18
1 + -4x + -3x2 = 18 + -14x + -3x2

Add '3x2' to each side of the equation.
1 + -4x + -3x2 + 3x2 = 18 + -14x + -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
1 + -4x + 0 = 18 + -14x + -3x2 + 3x2
1 + -4x = 18 + -14x + -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
1 + -4x = 18 + -14x + 0
1 + -4x = 18 + -14x

Solving
1 + -4x = 18 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
1 + -4x + 14x = 18 + -14x + 14x

Combine like terms: -4x + 14x = 10x
1 + 10x = 18 + -14x + 14x

Combine like terms: -14x + 14x = 0
1 + 10x = 18 + 0
1 + 10x = 18

Add '-1' to each side of the equation.
1 + -1 + 10x = 18 + -1

Combine like terms: 1 + -1 = 0
0 + 10x = 18 + -1
10x = 18 + -1

Combine like terms: 18 + -1 = 17
10x = 17

Divide each side by '10'.
x = 1.7

Simplifying
x = 1.7

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