3(x-1)+5(x-2)-(x-3)=18

Simple and best practice solution for 3(x-1)+5(x-2)-(x-3)=18 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 3(x-1)+5(x-2)-(x-3)=18 equation:


Simplifying
3(x + -1) + 5(x + -2) + -1(x + -3) = 18

Reorder the terms:
3(-1 + x) + 5(x + -2) + -1(x + -3) = 18
(-1 * 3 + x * 3) + 5(x + -2) + -1(x + -3) = 18
(-3 + 3x) + 5(x + -2) + -1(x + -3) = 18

Reorder the terms:
-3 + 3x + 5(-2 + x) + -1(x + -3) = 18
-3 + 3x + (-2 * 5 + x * 5) + -1(x + -3) = 18
-3 + 3x + (-10 + 5x) + -1(x + -3) = 18

Reorder the terms:
-3 + 3x + -10 + 5x + -1(-3 + x) = 18
-3 + 3x + -10 + 5x + (-3 * -1 + x * -1) = 18
-3 + 3x + -10 + 5x + (3 + -1x) = 18

Reorder the terms:
-3 + -10 + 3 + 3x + 5x + -1x = 18

Combine like terms: -3 + -10 = -13
-13 + 3 + 3x + 5x + -1x = 18

Combine like terms: -13 + 3 = -10
-10 + 3x + 5x + -1x = 18

Combine like terms: 3x + 5x = 8x
-10 + 8x + -1x = 18

Combine like terms: 8x + -1x = 7x
-10 + 7x = 18

Solving
-10 + 7x = 18

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 7x = 18 + 10

Combine like terms: -10 + 10 = 0
0 + 7x = 18 + 10
7x = 18 + 10

Combine like terms: 18 + 10 = 28
7x = 28

Divide each side by '7'.
x = 4

Simplifying
x = 4

See similar equations:

| 10+-4x=50 | | 8m-7m+5=-8-2(m+12) | | 18-2x-4x=-20-4 | | -3x-6(-4x+12)=138 | | 8(4)=-3m | | -6(q-3)-(18-14q)= | | 5+-2x=25 | | 8m-7m+5=-8-2(m-12) | | 7x-3=3x-27 | | 3+4x=6x-5 | | 8(2)=-3m | | 9999999999999x=12489144141x | | 72x+436=96+1108 | | 8(-2)=-3m | | 7=2 | | 84=7m | | 4y^3-12y^2=0 | | (9-5a)4= | | 12(4x-2)=4(12x+1) | | 3(s-4)=12 | | 17+5[8-6(3t-5)]+3(4t-16)= | | 15(x-6)=-7-8 | | 2x^2+5x+12= | | -2y=45+7y | | 4p+6=3p+9 | | 7(6w-1)= | | 9x-10=4x-5 | | 5.7x+12.8=4.7x | | (1+4c)(1+4c)= | | 0.50(8-6h)=h | | (n-7)2= | | 5n+10=60 |

Equations solver categories