4(2x-7)-8(5-x)=3(2x+4)-5(x+7)

Simple and best practice solution for 4(2x-7)-8(5-x)=3(2x+4)-5(x+7) 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 4(2x-7)-8(5-x)=3(2x+4)-5(x+7) equation:


Simplifying
4(2x + -7) + -8(5 + -1x) = 3(2x + 4) + -5(x + 7)

Reorder the terms:
4(-7 + 2x) + -8(5 + -1x) = 3(2x + 4) + -5(x + 7)
(-7 * 4 + 2x * 4) + -8(5 + -1x) = 3(2x + 4) + -5(x + 7)
(-28 + 8x) + -8(5 + -1x) = 3(2x + 4) + -5(x + 7)
-28 + 8x + (5 * -8 + -1x * -8) = 3(2x + 4) + -5(x + 7)
-28 + 8x + (-40 + 8x) = 3(2x + 4) + -5(x + 7)

Reorder the terms:
-28 + -40 + 8x + 8x = 3(2x + 4) + -5(x + 7)

Combine like terms: -28 + -40 = -68
-68 + 8x + 8x = 3(2x + 4) + -5(x + 7)

Combine like terms: 8x + 8x = 16x
-68 + 16x = 3(2x + 4) + -5(x + 7)

Reorder the terms:
-68 + 16x = 3(4 + 2x) + -5(x + 7)
-68 + 16x = (4 * 3 + 2x * 3) + -5(x + 7)
-68 + 16x = (12 + 6x) + -5(x + 7)

Reorder the terms:
-68 + 16x = 12 + 6x + -5(7 + x)
-68 + 16x = 12 + 6x + (7 * -5 + x * -5)
-68 + 16x = 12 + 6x + (-35 + -5x)

Reorder the terms:
-68 + 16x = 12 + -35 + 6x + -5x

Combine like terms: 12 + -35 = -23
-68 + 16x = -23 + 6x + -5x

Combine like terms: 6x + -5x = 1x
-68 + 16x = -23 + 1x

Solving
-68 + 16x = -23 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-68 + 16x + -1x = -23 + 1x + -1x

Combine like terms: 16x + -1x = 15x
-68 + 15x = -23 + 1x + -1x

Combine like terms: 1x + -1x = 0
-68 + 15x = -23 + 0
-68 + 15x = -23

Add '68' to each side of the equation.
-68 + 68 + 15x = -23 + 68

Combine like terms: -68 + 68 = 0
0 + 15x = -23 + 68
15x = -23 + 68

Combine like terms: -23 + 68 = 45
15x = 45

Divide each side by '15'.
x = 3

Simplifying
x = 3

See similar equations:

| 52*7=3x | | Y=4x^2-6x-4 | | 3/8*m=-24 | | 3Y^(2/3)=192 | | 7/4=n/28 | | (-3x/x+12)=(9/x-18) | | 2n-5*-6=-20 | | 6(2+5x)= | | 5*2n-6=-20 | | 5/n=25/50 | | 9(x+2)=3(x+20) | | 3(x-3)=47-4x | | 8.6x-2.4x=3.6x | | 19/9x^10/9+10/9x^1/9 | | 2x+4(x-3)=0 | | n/40=10/20 | | 7-2(3-4x)= | | 12x=4x-8 | | 4x^2-18x-220=82 | | 8x-3x(4+x)= | | 2+32y= | | 4(3x-2)=6(x-3) | | 5/20=n/10 | | 8.09(A^11)-9.09(A^10)=-1 | | 5x+23=8x | | 24/5+13-3+14(4)=354/5 | | 6x^2-19xy-20y^2= | | .55x+.05(12-x)=.10(-34) | | 6b^2-11b-10= | | 2x+32=4x+20 | | 4*5=30 | | 3x^2+16x=264 |

Equations solver categories