(12)(5x-1)=(7x)(2x+2)

Simple and best practice solution for (12)(5x-1)=(7x)(2x+2) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (12)(5x-1)=(7x)(2x+2) equation: 


Simplifying
(12)(5x + -1) = (7x)(2x + 2)

Reorder the terms:
12(-1 + 5x) = (7x)(2x + 2)
(-1 * 12 + 5x * 12) = (7x)(2x + 2)
(-12 + 60x) = (7x)(2x + 2)

Remove parenthesis around (7x)
-12 + 60x = 7x(2x + 2)

Reorder the terms:
-12 + 60x = 7x(2 + 2x)
-12 + 60x = (2 * 7x + 2x * 7x)
-12 + 60x = (14x + 14x2)

Solving
-12 + 60x = 14x + 14x2

Solving for variable 'x'.

Combine like terms: 60x + -14x = 46x
-12 + 46x + -14x2 = 14x + 14x2 + -14x + -14x2

Reorder the terms:
-12 + 46x + -14x2 = 14x + -14x + 14x2 + -14x2

Combine like terms: 14x + -14x = 0
-12 + 46x + -14x2 = 0 + 14x2 + -14x2
-12 + 46x + -14x2 = 14x2 + -14x2

Combine like terms: 14x2 + -14x2 = 0
-12 + 46x + -14x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + 23x + -7x2) = 0

Factor a trinomial.
2((-3 + x)(2 + -7x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-3 + x)' equal to zero and attempt to solve:

Simplifying
-3 + x = 0

Solving
-3 + x = 0

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

Add '3' to each side of the equation.
-3 + 3 + x = 0 + 3

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

Combine like terms: 0 + 3 = 3
x = 3

Simplifying
x = 3

Subproblem 2
Set the factor '(2 + -7x)' equal to zero and attempt to solve:

Simplifying
2 + -7x = 0

Solving
2 + -7x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -7x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = 0 + -2
-7x = 0 + -2

Combine like terms: 0 + -2 = -2
-7x = -2

Divide each side by '-7'.
x = 0.2857142857

Simplifying
x = 0.2857142857
Solution
x = {3, 0.2857142857}

See similar equations:

| 9x-9=8x-5 | | 11-7y=-24 | | X/(6)=6 | | 12x^2-60x+50=0 | | 3x-5(2+6x)=8x-10 | | (8/6)x=24 | | (9/x^7)^-2 | | 10/3x=30 | | 10/3=30 | | (3x+61)(7x)=29 | | 1/5x=8/10 | | h=-2t^2+9t+11 | | e-7/-2=11 | | (5x)=145 | | 3c^3+3c^2-126c=0 | | 0=-16t^2+30t+10 | | 60x/80x | | c/8=5 | | 1.28x+0.8-x=2x+1.3 | | 5x^2-30x+41=0 | | (7x)=41 | | y=19 | | x^2-6x+225=0 | | (7x+30)=135 | | 20x=100000 | | 9.6/a=0.8/0.6 | | 3z+1+2z-6=180 | | 6(2x-3)-(5x+7)= | | 3x^2+19x+24=0 | | -210=(-2)(30)+b | | -5x=23.5 | | ln(x+4)=ln(3x-6) |

Equations solver categories