3x(7x+1)-11=3x(7x+4)+25

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Solution for 3x(7x+1)-11=3x(7x+4)+25 equation:


Simplifying
3x(7x + 1) + -11 = 3x(7x + 4) + 25

Reorder the terms:
3x(1 + 7x) + -11 = 3x(7x + 4) + 25
(1 * 3x + 7x * 3x) + -11 = 3x(7x + 4) + 25
(3x + 21x2) + -11 = 3x(7x + 4) + 25

Reorder the terms:
-11 + 3x + 21x2 = 3x(7x + 4) + 25

Reorder the terms:
-11 + 3x + 21x2 = 3x(4 + 7x) + 25
-11 + 3x + 21x2 = (4 * 3x + 7x * 3x) + 25
-11 + 3x + 21x2 = (12x + 21x2) + 25

Reorder the terms:
-11 + 3x + 21x2 = 25 + 12x + 21x2

Add '-21x2' to each side of the equation.
-11 + 3x + 21x2 + -21x2 = 25 + 12x + 21x2 + -21x2

Combine like terms: 21x2 + -21x2 = 0
-11 + 3x + 0 = 25 + 12x + 21x2 + -21x2
-11 + 3x = 25 + 12x + 21x2 + -21x2

Combine like terms: 21x2 + -21x2 = 0
-11 + 3x = 25 + 12x + 0
-11 + 3x = 25 + 12x

Solving
-11 + 3x = 25 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-11 + 3x + -12x = 25 + 12x + -12x

Combine like terms: 3x + -12x = -9x
-11 + -9x = 25 + 12x + -12x

Combine like terms: 12x + -12x = 0
-11 + -9x = 25 + 0
-11 + -9x = 25

Add '11' to each side of the equation.
-11 + 11 + -9x = 25 + 11

Combine like terms: -11 + 11 = 0
0 + -9x = 25 + 11
-9x = 25 + 11

Combine like terms: 25 + 11 = 36
-9x = 36

Divide each side by '-9'.
x = -4

Simplifying
x = -4

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