5+x(6x-7)=2x(3x-1)

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Solution for 5+x(6x-7)=2x(3x-1) equation:


Simplifying
5 + x(6x + -7) = 2x(3x + -1)

Reorder the terms:
5 + x(-7 + 6x) = 2x(3x + -1)
5 + (-7 * x + 6x * x) = 2x(3x + -1)
5 + (-7x + 6x2) = 2x(3x + -1)

Reorder the terms:
5 + -7x + 6x2 = 2x(-1 + 3x)
5 + -7x + 6x2 = (-1 * 2x + 3x * 2x)
5 + -7x + 6x2 = (-2x + 6x2)

Add '-6x2' to each side of the equation.
5 + -7x + 6x2 + -6x2 = -2x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
5 + -7x + 0 = -2x + 6x2 + -6x2
5 + -7x = -2x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
5 + -7x = -2x + 0
5 + -7x = -2x

Solving
5 + -7x = -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
5 + -7x + 2x = -2x + 2x

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

Combine like terms: -2x + 2x = 0
5 + -5x = 0

Add '-5' to each side of the equation.
5 + -5 + -5x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -5x = 0 + -5
-5x = 0 + -5

Combine like terms: 0 + -5 = -5
-5x = -5

Divide each side by '-5'.
x = 1

Simplifying
x = 1

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