3(x-5)-(4x-9)=5(2x-8)

Simple and best practice solution for 3(x-5)-(4x-9)=5(2x-8) 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 3(x-5)-(4x-9)=5(2x-8) equation:


Simplifying
3(x + -5) + -1(4x + -9) = 5(2x + -8)

Reorder the terms:
3(-5 + x) + -1(4x + -9) = 5(2x + -8)
(-5 * 3 + x * 3) + -1(4x + -9) = 5(2x + -8)
(-15 + 3x) + -1(4x + -9) = 5(2x + -8)

Reorder the terms:
-15 + 3x + -1(-9 + 4x) = 5(2x + -8)
-15 + 3x + (-9 * -1 + 4x * -1) = 5(2x + -8)
-15 + 3x + (9 + -4x) = 5(2x + -8)

Reorder the terms:
-15 + 9 + 3x + -4x = 5(2x + -8)

Combine like terms: -15 + 9 = -6
-6 + 3x + -4x = 5(2x + -8)

Combine like terms: 3x + -4x = -1x
-6 + -1x = 5(2x + -8)

Reorder the terms:
-6 + -1x = 5(-8 + 2x)
-6 + -1x = (-8 * 5 + 2x * 5)
-6 + -1x = (-40 + 10x)

Solving
-6 + -1x = -40 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-6 + -1x + -10x = -40 + 10x + -10x

Combine like terms: -1x + -10x = -11x
-6 + -11x = -40 + 10x + -10x

Combine like terms: 10x + -10x = 0
-6 + -11x = -40 + 0
-6 + -11x = -40

Add '6' to each side of the equation.
-6 + 6 + -11x = -40 + 6

Combine like terms: -6 + 6 = 0
0 + -11x = -40 + 6
-11x = -40 + 6

Combine like terms: -40 + 6 = -34
-11x = -34

Divide each side by '-11'.
x = 3.090909091

Simplifying
x = 3.090909091

See similar equations:

| 37+x=-50 | | 3x+26=8x-9 | | (3*x)+(7y)=(-9)(-11*y)fory | | 9x+7-2x-5= | | -4x+15=-6x+31 | | x-(-26)=11 | | X+7=3+2x+2+6 | | -4(4x-9)=-2x | | 20186.7+62.3=d | | (-3-5i)+(-3-5i)= | | 2(3x-1)+5=3 | | (3-5i)+(4-i)= | | v^2-05v-14=0 | | 22x+0.8x+5=4x | | 5x+4x-7=29 | | (3-3i)+(2-3i)= | | -2(5p-6)-8=84 | | 2x+3+3x=30 | | (7r+4)(3r-5)=0 | | .14(y-8)+0.04y=0.06y-1 | | (-16)+x=51 | | (c-36)(c+81)=0 | | 2-5(3+4x)= | | (4+2i)+(2-3)i= | | 5x+-5=-10 | | 4m-13=43 | | 5.3*9.5=50.35 | | 4p-5-4p=-5 | | 8a-2(a+5)=2(8-1) | | lnx=0.01 | | 0=-16t^2+120t+8 | | . 2(4-x+2x)=12 |

Equations solver categories