4(-3x+1)=10(x-4)-14x

Simple and best practice solution for 4(-3x+1)=10(x-4)-14x 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(-3x+1)=10(x-4)-14x equation:


Simplifying
4(-3x + 1) = 10(x + -4) + -14x

Reorder the terms:
4(1 + -3x) = 10(x + -4) + -14x
(1 * 4 + -3x * 4) = 10(x + -4) + -14x
(4 + -12x) = 10(x + -4) + -14x

Reorder the terms:
4 + -12x = 10(-4 + x) + -14x
4 + -12x = (-4 * 10 + x * 10) + -14x
4 + -12x = (-40 + 10x) + -14x

Combine like terms: 10x + -14x = -4x
4 + -12x = -40 + -4x

Solving
4 + -12x = -40 + -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.
4 + -12x + 4x = -40 + -4x + 4x

Combine like terms: -12x + 4x = -8x
4 + -8x = -40 + -4x + 4x

Combine like terms: -4x + 4x = 0
4 + -8x = -40 + 0
4 + -8x = -40

Add '-4' to each side of the equation.
4 + -4 + -8x = -40 + -4

Combine like terms: 4 + -4 = 0
0 + -8x = -40 + -4
-8x = -40 + -4

Combine like terms: -40 + -4 = -44
-8x = -44

Divide each side by '-8'.
x = 5.5

Simplifying
x = 5.5

See similar equations:

| -2x-4-6x=12 | | 31/3-1/2-1/3 | | 1/2(6t+9)=t+9/4 | | -0+2y=4 | | -x^2-5x=14 | | 31/3-1/2-13 | | -5(x-3)=7x-9 | | 28-4x=36+2(2x-4) | | 25w^2-9= | | -3(2y-6)-y=-2(y-5) | | 2(3n-7)=5n | | 3/7w-11=-4/7x | | 2[7-1(-8x-7)]=32x+42 | | -2.3=x(-1.1) | | 1/3(36)-7= | | 45(10b+10)-20=40(10b+30) | | 5(x+4)-7x=-26 | | 8-(2X-4)=X+12 | | 25*(w*w)-9= | | 2(4+5x)+10=-(-5x+12) | | -3y+12=-4 | | 6x=8-2x | | 15-9p= | | X+3.4=7.6 | | 9(-5n-8)=-6(8n+2) | | 4x-xy=9 | | -122=11-6a | | 5x-5+7x=-17 | | -8(1-6m)=10(4m-12) | | -13+h=-15 | | 21=1.4x | | 9z-10=3+2z+7 |

Equations solver categories