2(5x+1)-2(7x-9)=10(3x+2)+11(5-3x)-61

Simple and best practice solution for 2(5x+1)-2(7x-9)=10(3x+2)+11(5-3x)-61 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 2(5x+1)-2(7x-9)=10(3x+2)+11(5-3x)-61 equation: 


Simplifying
2(5x + 1) + -2(7x + -9) = 10(3x + 2) + 11(5 + -3x) + -61

Reorder the terms:
2(1 + 5x) + -2(7x + -9) = 10(3x + 2) + 11(5 + -3x) + -61
(1 * 2 + 5x * 2) + -2(7x + -9) = 10(3x + 2) + 11(5 + -3x) + -61
(2 + 10x) + -2(7x + -9) = 10(3x + 2) + 11(5 + -3x) + -61

Reorder the terms:
2 + 10x + -2(-9 + 7x) = 10(3x + 2) + 11(5 + -3x) + -61
2 + 10x + (-9 * -2 + 7x * -2) = 10(3x + 2) + 11(5 + -3x) + -61
2 + 10x + (18 + -14x) = 10(3x + 2) + 11(5 + -3x) + -61

Reorder the terms:
2 + 18 + 10x + -14x = 10(3x + 2) + 11(5 + -3x) + -61

Combine like terms: 2 + 18 = 20
20 + 10x + -14x = 10(3x + 2) + 11(5 + -3x) + -61

Combine like terms: 10x + -14x = -4x
20 + -4x = 10(3x + 2) + 11(5 + -3x) + -61

Reorder the terms:
20 + -4x = 10(2 + 3x) + 11(5 + -3x) + -61
20 + -4x = (2 * 10 + 3x * 10) + 11(5 + -3x) + -61
20 + -4x = (20 + 30x) + 11(5 + -3x) + -61
20 + -4x = 20 + 30x + (5 * 11 + -3x * 11) + -61
20 + -4x = 20 + 30x + (55 + -33x) + -61

Reorder the terms:
20 + -4x = 20 + 55 + -61 + 30x + -33x

Combine like terms: 20 + 55 = 75
20 + -4x = 75 + -61 + 30x + -33x

Combine like terms: 75 + -61 = 14
20 + -4x = 14 + 30x + -33x

Combine like terms: 30x + -33x = -3x
20 + -4x = 14 + -3x

Solving
20 + -4x = 14 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
20 + -4x + 3x = 14 + -3x + 3x

Combine like terms: -4x + 3x = -1x
20 + -1x = 14 + -3x + 3x

Combine like terms: -3x + 3x = 0
20 + -1x = 14 + 0
20 + -1x = 14

Add '-20' to each side of the equation.
20 + -20 + -1x = 14 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 14 + -20
-1x = 14 + -20

Combine like terms: 14 + -20 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

See similar equations:

| 4y+10=13 | | 2n+8=10whatisn | | (X^9*Y^4)/X^5 | | 3x^2/4*2/x | | 5x+16=2x+6x+25 | | p+q=pz+qy | | 7(x-2)-(x+7)=5(x-1)-(2x+7) | | log(2x)+logx=10 | | 6x-3(4x-6)=-30 | | 4x+6(5b+3x)-6b= | | 28=9+.5 | | -6b+1b= | | 2(4x+1)-4(5-x)-5=2(10-x)-12+3(5x-7) | | 7m+5=2m-10 | | (7x-12)(2x+1)-(4x+6)(7x-12)=0 | | 0.4r^2+0.7t=0.3-0.2 | | 14x-(3x-34)=15x-(x-7) | | 3.5x+21=3.5x | | 1nx+1n(x+1)=2 | | 5x-3(2x+1)=1-4(x-2) | | 6x^2+84+300=0 | | 9x-(3x-23)=77 | | 3(x-1)-5=2x+1 | | 4*x+7+x=70 | | 3(3x-1)-(x-1)=6(x+10) | | z^2+4z+16=0 | | -15-6x=3 | | 45x*45x+240x+180=0 | | 0.001*0.0001x=0.125 | | 3(3x-5)-2(4-3x)-4(1-2x)=5(3x-2) | | 10x-28=9 | | 0.35/x=12000 |

Equations solver categories