5(x-1)=3(x-4)+6

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


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

Reorder the terms:
5(-1 + x) = 3(x + -4) + 6
(-1 * 5 + x * 5) = 3(x + -4) + 6
(-5 + 5x) = 3(x + -4) + 6

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

Reorder the terms:
-5 + 5x = -12 + 6 + 3x

Combine like terms: -12 + 6 = -6
-5 + 5x = -6 + 3x

Solving
-5 + 5x = -6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-5 + 5x + -3x = -6 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-5 + 2x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5 + 2x = -6 + 0
-5 + 2x = -6

Add '5' to each side of the equation.
-5 + 5 + 2x = -6 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = -6 + 5
2x = -6 + 5

Combine like terms: -6 + 5 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5

See similar equations:

| -5.6+3.2=9.6z-8.6z-.2 | | .1=1.8z-.8z+8.9 | | n+5.6=-8.8 | | x-2.8=-6.9-1.4 | | 5x^2+30x=-65 | | =3-5(4-12-5+7)+24 | | -9.2=y+6.1 | | -3.1+n=-.3 | | -2.2=y-1.6 | | -7.2=1.3z+.4 | | 4-2(2x-1)=2x-6 | | X/2/5=1/8 | | (2.2x-1.5)-(1.25x-6)= | | -4(4x-5y+6)= | | 0.36*.11/2 | | x-12/3x≥4 | | 2x+4=6x+36 | | 8x+3=31+4x | | 4x^2-3y=1 | | 4e^7x-2=3 | | .86x+x=200.38 | | 8x=x+45 | | 9*n=-45 | | 12x-2y=18 | | 3x-4=40-x | | 6/b-5/2b | | Y/18=-22 | | (-4/7)t=-8 | | y^2+6y+5=y+1 | | (-3/7)m=-12 | | (4/3)p=8 | | (4y+6)-(5+3y)=4 |

Equations solver categories