7+4(2x-1)=3x-5x(1x-6)

Simple and best practice solution for 7+4(2x-1)=3x-5x(1x-6) 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 7+4(2x-1)=3x-5x(1x-6) equation:


Simplifying
7 + 4(2x + -1) = 3x + -5x(1x + -6)

Reorder the terms:
7 + 4(-1 + 2x) = 3x + -5x(1x + -6)
7 + (-1 * 4 + 2x * 4) = 3x + -5x(1x + -6)
7 + (-4 + 8x) = 3x + -5x(1x + -6)

Combine like terms: 7 + -4 = 3
3 + 8x = 3x + -5x(1x + -6)

Reorder the terms:
3 + 8x = 3x + -5x(-6 + 1x)
3 + 8x = 3x + (-6 * -5x + 1x * -5x)
3 + 8x = 3x + (30x + -5x2)

Combine like terms: 3x + 30x = 33x
3 + 8x = 33x + -5x2

Solving
3 + 8x = 33x + -5x2

Solving for variable 'x'.

Combine like terms: 8x + -33x = -25x
3 + -25x + 5x2 = 33x + -5x2 + -33x + 5x2

Reorder the terms:
3 + -25x + 5x2 = 33x + -33x + -5x2 + 5x2

Combine like terms: 33x + -33x = 0
3 + -25x + 5x2 = 0 + -5x2 + 5x2
3 + -25x + 5x2 = -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
3 + -25x + 5x2 = 0

Begin completing the square.  Divide all terms by
5 the coefficient of the squared term: 

Divide each side by '5'.
0.6 + -5x + x2 = 0

Move the constant term to the right:

Add '-0.6' to each side of the equation.
0.6 + -5x + -0.6 + x2 = 0 + -0.6

Reorder the terms:
0.6 + -0.6 + -5x + x2 = 0 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -5x + x2 = 0 + -0.6
-5x + x2 = 0 + -0.6

Combine like terms: 0 + -0.6 = -0.6
-5x + x2 = -0.6

The x term is -5x.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5x + 6.25 + x2 = -0.6 + 6.25

Reorder the terms:
6.25 + -5x + x2 = -0.6 + 6.25

Combine like terms: -0.6 + 6.25 = 5.65
6.25 + -5x + x2 = 5.65

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = 5.65

Calculate the square root of the right side: 2.376972865

Break this problem into two subproblems by setting 
(x + -2.5) equal to 2.376972865 and -2.376972865.

Subproblem 1

x + -2.5 = 2.376972865 Simplifying x + -2.5 = 2.376972865 Reorder the terms: -2.5 + x = 2.376972865 Solving -2.5 + x = 2.376972865 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + x = 2.376972865 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + x = 2.376972865 + 2.5 x = 2.376972865 + 2.5 Combine like terms: 2.376972865 + 2.5 = 4.876972865 x = 4.876972865 Simplifying x = 4.876972865

Subproblem 2

x + -2.5 = -2.376972865 Simplifying x + -2.5 = -2.376972865 Reorder the terms: -2.5 + x = -2.376972865 Solving -2.5 + x = -2.376972865 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + x = -2.376972865 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + x = -2.376972865 + 2.5 x = -2.376972865 + 2.5 Combine like terms: -2.376972865 + 2.5 = 0.123027135 x = 0.123027135 Simplifying x = 0.123027135

Solution

The solution to the problem is based on the solutions from the subproblems. x = {4.876972865, 0.123027135}

See similar equations:

| 2(6a-2)-11a=8-3 | | 3[n-36]=15 | | 7+x+2x=3+5x | | 4m+18p= | | 35-22x+6-18x=19-30x+32 | | 64x^4-y^2=0 | | 3x-8+6x-41+6x-41=180 | | 5y+8=x | | -4+16-16x=46 | | 9.5+8.1b=3(13b+2) | | 5+(-3)=8 | | 2d+36=-3b-54 | | -(6y+4)-(5y-8)=3 | | 9.5+8.1=3(13+2) | | -4x+18x=11 | | -6+(-5)=-11 | | 2x-7x+6x=9 | | 32=48t-16t | | L=w/a | | 4x+2+x=7 | | 2/9x-1/3=1/5 | | 6r=34.4 | | 7ft=2in | | 10f+6=8f | | 10z-z=-3+4z-2-10 | | 8x+10=12x | | 2m+m-6=18 | | y/8=3/12 | | 2*tg(4x)=1 | | 9x+3x+8=5x+20 | | 2(26-1.5y)+3y=52 | | 2(-2x+1)+-x=-2x+17 |

Equations solver categories