5x^2+7x-8=5x^2+4x+1

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Solution for 5x^2+7x-8=5x^2+4x+1 equation:


Simplifying
5x2 + 7x + -8 = 5x2 + 4x + 1

Reorder the terms:
-8 + 7x + 5x2 = 5x2 + 4x + 1

Reorder the terms:
-8 + 7x + 5x2 = 1 + 4x + 5x2

Add '-5x2' to each side of the equation.
-8 + 7x + 5x2 + -5x2 = 1 + 4x + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-8 + 7x + 0 = 1 + 4x + 5x2 + -5x2
-8 + 7x = 1 + 4x + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-8 + 7x = 1 + 4x + 0
-8 + 7x = 1 + 4x

Solving
-8 + 7x = 1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-8 + 7x + -4x = 1 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-8 + 3x = 1 + 4x + -4x

Combine like terms: 4x + -4x = 0
-8 + 3x = 1 + 0
-8 + 3x = 1

Add '8' to each side of the equation.
-8 + 8 + 3x = 1 + 8

Combine like terms: -8 + 8 = 0
0 + 3x = 1 + 8
3x = 1 + 8

Combine like terms: 1 + 8 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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