6(-3x+8)=-5(3x-7)

Simple and best practice solution for 6(-3x+8)=-5(3x-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+8)=-5(3x-7) equation:


Simplifying
6(-3x + 8) = -5(3x + -7)

Reorder the terms:
6(8 + -3x) = -5(3x + -7)
(8 * 6 + -3x * 6) = -5(3x + -7)
(48 + -18x) = -5(3x + -7)

Reorder the terms:
48 + -18x = -5(-7 + 3x)
48 + -18x = (-7 * -5 + 3x * -5)
48 + -18x = (35 + -15x)

Solving
48 + -18x = 35 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
48 + -18x + 15x = 35 + -15x + 15x

Combine like terms: -18x + 15x = -3x
48 + -3x = 35 + -15x + 15x

Combine like terms: -15x + 15x = 0
48 + -3x = 35 + 0
48 + -3x = 35

Add '-48' to each side of the equation.
48 + -48 + -3x = 35 + -48

Combine like terms: 48 + -48 = 0
0 + -3x = 35 + -48
-3x = 35 + -48

Combine like terms: 35 + -48 = -13
-3x = -13

Divide each side by '-3'.
x = 4.333333333

Simplifying
x = 4.333333333

See similar equations:

| -5.8+m=1.3 | | -4(1+x)=5(1-x) | | s=(n-2)180 | | 8x-4-3x=21 | | 2(v+1)=6v-64 | | 10k+3=6k-15 | | 7t+4=2(7t-5) | | 3(3.4)= | | 3r=2(7+5r) | | 8(3.4)= | | 4x+11X=105 | | 7y-4(3y-5)=80 | | -2(2p-3)=2p | | 26=-5(4+8y)-6 | | 3(2x+5)=24 | | 4x= | | 20-3(m-1)=-4 | | 2a-11=-8a+19 | | 7(2-j)-5=30 | | 7(x+2)-4= | | 3(5i-2)+2=26 | | -5.5+2.3= | | 7x+2-4= | | -4-6(2-k)=8 | | -9+2(x+6)=28 | | 5(n+2)=3n | | 2.3-5(1.1)=7.8 | | 8(7-3q)=-17q | | 3(2-x)=2(x+8) | | 9m+14=2m | | s+3=3(11-3s) | | 2.3-5x=7.8 |

Equations solver categories