2-3(3x-5)=4(x-1)

Simple and best practice solution for 2-3(3x-5)=4(x-1) 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 2-3(3x-5)=4(x-1) equation:


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

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

Combine like terms: 2 + 15 = 17
17 + -9x = 4(x + -1)

Reorder the terms:
17 + -9x = 4(-1 + x)
17 + -9x = (-1 * 4 + x * 4)
17 + -9x = (-4 + 4x)

Solving
17 + -9x = -4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
17 + -9x + -4x = -4 + 4x + -4x

Combine like terms: -9x + -4x = -13x
17 + -13x = -4 + 4x + -4x

Combine like terms: 4x + -4x = 0
17 + -13x = -4 + 0
17 + -13x = -4

Add '-17' to each side of the equation.
17 + -17 + -13x = -4 + -17

Combine like terms: 17 + -17 = 0
0 + -13x = -4 + -17
-13x = -4 + -17

Combine like terms: -4 + -17 = -21
-13x = -21

Divide each side by '-13'.
x = 1.615384615

Simplifying
x = 1.615384615

See similar equations:

| 2(x+5)/3=4x-2 | | 3(w+2)+6(w+2)=12 | | 5+5(y-8)=29 | | 6.6(x-2)=-0.4x+42.8 | | 3(-4)-y=-14 | | 16t^2-136t+220=0 | | -7x+2+6x=-10 | | -3.5= | | (x+10)+x+3x+2=500 | | 6x+2(5x-1)=-82 | | 4(5y+7)+35=12 | | 0.25(x+y)=15-y | | -3(t-5)+5t=7t-9 | | 5+2(y-9)=18 | | -36x^2+1=0 | | -3+-6= | | 2h+8=72 | | 3u+3(1-u)=u+12 | | -8+3y=-2 | | -6+-4x=-14 | | 6.7a+12=92.4 | | (4x^2)(2x^4)=0 | | -17=-2n+13-8 | | 3m+24=99 | | 41x+21=6(6x+5)+5x-9 | | 8(z+4)=5(13)+5(2) | | -4(x+3)+6=6(x+4)+7 | | log(x)=ln(x) | | x^2=9x-22 | | 2(v-9)=4v-8 | | 7(3x-8)=2x+4 | | g(x)=5x^4-29x^3+55x^2-28x |

Equations solver categories