9x^2-46+7x=7x+8x^2+3

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Solution for 9x^2-46+7x=7x+8x^2+3 equation: 


Simplifying
9x2 + -46 + 7x = 7x + 8x2 + 3

Reorder the terms:
-46 + 7x + 9x2 = 7x + 8x2 + 3

Reorder the terms:
-46 + 7x + 9x2 = 3 + 7x + 8x2

Add '-7x' to each side of the equation.
-46 + 7x + -7x + 9x2 = 3 + 7x + -7x + 8x2

Combine like terms: 7x + -7x = 0
-46 + 0 + 9x2 = 3 + 7x + -7x + 8x2
-46 + 9x2 = 3 + 7x + -7x + 8x2

Combine like terms: 7x + -7x = 0
-46 + 9x2 = 3 + 0 + 8x2
-46 + 9x2 = 3 + 8x2

Solving
-46 + 9x2 = 3 + 8x2

Solving for variable 'x'.

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

Add '-8x2' to each side of the equation.
-46 + 9x2 + -8x2 = 3 + 8x2 + -8x2

Combine like terms: 9x2 + -8x2 = 1x2
-46 + 1x2 = 3 + 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-46 + 1x2 = 3 + 0
-46 + 1x2 = 3

Add '46' to each side of the equation.
-46 + 46 + 1x2 = 3 + 46

Combine like terms: -46 + 46 = 0
0 + 1x2 = 3 + 46
1x2 = 3 + 46

Combine like terms: 3 + 46 = 49
1x2 = 49

Divide each side by '1'.
x2 = 49

Simplifying
x2 = 49

Take the square root of each side:
x = {-7, 7}

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