9-(2-3x)=6+2x(5+x)

Simple and best practice solution for 9-(2-3x)=6+2x(5+x) 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 9-(2-3x)=6+2x(5+x) equation:


Simplifying
9 + -1(2 + -3x) = 6 + 2x(5 + x)
9 + (2 * -1 + -3x * -1) = 6 + 2x(5 + x)
9 + (-2 + 3x) = 6 + 2x(5 + x)

Combine like terms: 9 + -2 = 7
7 + 3x = 6 + 2x(5 + x)
7 + 3x = 6 + (5 * 2x + x * 2x)
7 + 3x = 6 + (10x + 2x2)

Solving
7 + 3x = 6 + 10x + 2x2

Solving for variable 'x'.

Reorder the terms:
7 + -6 + 3x + -10x + -2x2 = 6 + 10x + 2x2 + -6 + -10x + -2x2

Combine like terms: 7 + -6 = 1
1 + 3x + -10x + -2x2 = 6 + 10x + 2x2 + -6 + -10x + -2x2

Combine like terms: 3x + -10x = -7x
1 + -7x + -2x2 = 6 + 10x + 2x2 + -6 + -10x + -2x2

Reorder the terms:
1 + -7x + -2x2 = 6 + -6 + 10x + -10x + 2x2 + -2x2

Combine like terms: 6 + -6 = 0
1 + -7x + -2x2 = 0 + 10x + -10x + 2x2 + -2x2
1 + -7x + -2x2 = 10x + -10x + 2x2 + -2x2

Combine like terms: 10x + -10x = 0
1 + -7x + -2x2 = 0 + 2x2 + -2x2
1 + -7x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
1 + -7x + -2x2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
-0.5 + 3.5x + x2 = 0

Move the constant term to the right:

Add '0.5' to each side of the equation.
-0.5 + 3.5x + 0.5 + x2 = 0 + 0.5

Reorder the terms:
-0.5 + 0.5 + 3.5x + x2 = 0 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + 3.5x + x2 = 0 + 0.5
3.5x + x2 = 0 + 0.5

Combine like terms: 0 + 0.5 = 0.5
3.5x + x2 = 0.5

The x term is 3.5x.  Take half its coefficient (1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
3.5x + 3.0625 + x2 = 0.5 + 3.0625

Reorder the terms:
3.0625 + 3.5x + x2 = 0.5 + 3.0625

Combine like terms: 0.5 + 3.0625 = 3.5625
3.0625 + 3.5x + x2 = 3.5625

Factor a perfect square on the left side:
(x + 1.75)(x + 1.75) = 3.5625

Calculate the square root of the right side: 1.887458609

Break this problem into two subproblems by setting 
(x + 1.75) equal to 1.887458609 and -1.887458609.

Subproblem 1

x + 1.75 = 1.887458609 Simplifying x + 1.75 = 1.887458609 Reorder the terms: 1.75 + x = 1.887458609 Solving 1.75 + x = 1.887458609 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.75' to each side of the equation. 1.75 + -1.75 + x = 1.887458609 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + x = 1.887458609 + -1.75 x = 1.887458609 + -1.75 Combine like terms: 1.887458609 + -1.75 = 0.137458609 x = 0.137458609 Simplifying x = 0.137458609

Subproblem 2

x + 1.75 = -1.887458609 Simplifying x + 1.75 = -1.887458609 Reorder the terms: 1.75 + x = -1.887458609 Solving 1.75 + x = -1.887458609 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.75' to each side of the equation. 1.75 + -1.75 + x = -1.887458609 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + x = -1.887458609 + -1.75 x = -1.887458609 + -1.75 Combine like terms: -1.887458609 + -1.75 = -3.637458609 x = -3.637458609 Simplifying x = -3.637458609

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.137458609, -3.637458609}

See similar equations:

| 64x^2+80xy+25y^2=0 | | 5x+8=4(x-4) | | Log[2](3X+5)=3 | | 25.5=-7(7.5c+3) | | 7m+4=74 | | -16p-4(2-5p)=2(p-3)-14 | | -2x+3*2x+7=9 | | 1.89-7.14= | | 8a-4=4a+8 | | 2(1+2x)+10=12(1-12x) | | 3(2x+3)=2-x | | Log[2](3X+5)=11 | | 25-9z^2= | | 13x+12=4x+210 | | (8x+9)(x^2-6x+2)=0 | | 11x+20x-9+3=-2x+3-9 | | 16+2.4=22.5 | | 2m^2+2m+1=0 | | 3p+2q=-18 | | -9(m+3)+6=-7(m+9) | | 144x^2-64y^2=0 | | -13+3x=-39+25x | | -8+4x=-16+18x | | p=q+4 | | 7(5x+1)=3x-7x | | (6x+8)(6x-8)= | | 39.91+.50x=120x | | 5-y=-16 | | 37-2x=7-8x | | -11b+102=-(11b+9) | | 3lnx-7=5 | | -4.8f+6.4=-4.48 |

Equations solver categories