(3x-5)*(7+4x)=(6x-2)*(5+2x)

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Solution for (3x-5)*(7+4x)=(6x-2)*(5+2x) equation: 


Simplifying
(3x + -5)(7 + 4x) = (6x + -2)(5 + 2x)

Reorder the terms:
(-5 + 3x)(7 + 4x) = (6x + -2)(5 + 2x)

Multiply (-5 + 3x) * (7 + 4x)
(-5(7 + 4x) + 3x * (7 + 4x)) = (6x + -2)(5 + 2x)
((7 * -5 + 4x * -5) + 3x * (7 + 4x)) = (6x + -2)(5 + 2x)
((-35 + -20x) + 3x * (7 + 4x)) = (6x + -2)(5 + 2x)
(-35 + -20x + (7 * 3x + 4x * 3x)) = (6x + -2)(5 + 2x)
(-35 + -20x + (21x + 12x2)) = (6x + -2)(5 + 2x)

Combine like terms: -20x + 21x = 1x
(-35 + 1x + 12x2) = (6x + -2)(5 + 2x)

Reorder the terms:
-35 + 1x + 12x2 = (-2 + 6x)(5 + 2x)

Multiply (-2 + 6x) * (5 + 2x)
-35 + 1x + 12x2 = (-2(5 + 2x) + 6x * (5 + 2x))
-35 + 1x + 12x2 = ((5 * -2 + 2x * -2) + 6x * (5 + 2x))
-35 + 1x + 12x2 = ((-10 + -4x) + 6x * (5 + 2x))
-35 + 1x + 12x2 = (-10 + -4x + (5 * 6x + 2x * 6x))
-35 + 1x + 12x2 = (-10 + -4x + (30x + 12x2))

Combine like terms: -4x + 30x = 26x
-35 + 1x + 12x2 = (-10 + 26x + 12x2)

Add '-12x2' to each side of the equation.
-35 + 1x + 12x2 + -12x2 = -10 + 26x + 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-35 + 1x + 0 = -10 + 26x + 12x2 + -12x2
-35 + 1x = -10 + 26x + 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-35 + 1x = -10 + 26x + 0
-35 + 1x = -10 + 26x

Solving
-35 + 1x = -10 + 26x

Solving for variable 'x'.

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

Add '-26x' to each side of the equation.
-35 + 1x + -26x = -10 + 26x + -26x

Combine like terms: 1x + -26x = -25x
-35 + -25x = -10 + 26x + -26x

Combine like terms: 26x + -26x = 0
-35 + -25x = -10 + 0
-35 + -25x = -10

Add '35' to each side of the equation.
-35 + 35 + -25x = -10 + 35

Combine like terms: -35 + 35 = 0
0 + -25x = -10 + 35
-25x = -10 + 35

Combine like terms: -10 + 35 = 25
-25x = 25

Divide each side by '-25'.
x = -1

Simplifying
x = -1

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