6(3x-5)=3[4(1-x)-7]

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


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

Reorder the terms:
6(-5 + 3x) = 3[4(1 + -1x) + -7]
(-5 * 6 + 3x * 6) = 3[4(1 + -1x) + -7]
(-30 + 18x) = 3[4(1 + -1x) + -7]
-30 + 18x = 3[(1 * 4 + -1x * 4) + -7]
-30 + 18x = 3[(4 + -4x) + -7]

Reorder the terms:
-30 + 18x = 3[4 + -7 + -4x]

Combine like terms: 4 + -7 = -3
-30 + 18x = 3[-3 + -4x]
-30 + 18x = [-3 * 3 + -4x * 3]
-30 + 18x = [-9 + -12x]

Solving
-30 + 18x = -9 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-30 + 18x + 12x = -9 + -12x + 12x

Combine like terms: 18x + 12x = 30x
-30 + 30x = -9 + -12x + 12x

Combine like terms: -12x + 12x = 0
-30 + 30x = -9 + 0
-30 + 30x = -9

Add '30' to each side of the equation.
-30 + 30 + 30x = -9 + 30

Combine like terms: -30 + 30 = 0
0 + 30x = -9 + 30
30x = -9 + 30

Combine like terms: -9 + 30 = 21
30x = 21

Divide each side by '30'.
x = 0.7

Simplifying
x = 0.7

See similar equations:

| 6s-4+6(s-10)=-40 | | -5(2y-7)-y=-2(y-3) | | 2x+5+14x=16x-15 | | 2(4-2r)-5=-2(r+5)+8r | | 3(k+8)=2 | | 6+2(5+3a)=2a(2+8) | | -14+12(x+y)-12x= | | 9(x+6)=72 | | 2x+5+14=16x-15 | | -31-4x=-5-4+25x | | -8*6=-2+7(r-5) | | 6a^2+9a=0 | | R+r+r=5r-6 | | -8t^2+18+5=0 | | b/3+1/2=17 | | -2x+3(x+5)=25 | | 4+x+3x= | | 2(x-3)+-5(x+10)=40 | | 15z^3-11z^2=0 | | 2(x+2)=32 | | v+11=-6(v-3) | | 3a-7(a-8)=-12 | | 8/9=29/18x | | 3+12Y=-8 | | D=(1/2)m-2 | | 19t-48=2+14t | | 7x+5=x+13+2(3x-4) | | 4(2k-7)+3(k-3)=46 | | 5x+22+2x=14 | | (x-3)/3=4.5 | | 6(x-4)=14 | | y=33x |

Equations solver categories