5(x-2)-3(x+4)=-10

Simple and best practice solution for 5(x-2)-3(x+4)=-10 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-2)-3(x+4)=-10 equation: 


Simplifying
5(x + -2) + -3(x + 4) = -10

Reorder the terms:
5(-2 + x) + -3(x + 4) = -10
(-2 * 5 + x * 5) + -3(x + 4) = -10
(-10 + 5x) + -3(x + 4) = -10

Reorder the terms:
-10 + 5x + -3(4 + x) = -10
-10 + 5x + (4 * -3 + x * -3) = -10
-10 + 5x + (-12 + -3x) = -10

Reorder the terms:
-10 + -12 + 5x + -3x = -10

Combine like terms: -10 + -12 = -22
-22 + 5x + -3x = -10

Combine like terms: 5x + -3x = 2x
-22 + 2x = -10

Solving
-22 + 2x = -10

Solving for variable 'x'.

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

Add '22' to each side of the equation.
-22 + 22 + 2x = -10 + 22

Combine like terms: -22 + 22 = 0
0 + 2x = -10 + 22
2x = -10 + 22

Combine like terms: -10 + 22 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

See similar equations:

| 12(2r-1)= | | 6x+y=13 | | 3(5x+1)=63 | | 5+3x=-1+4x | | 28.90+49.99+d+d=100.39 | | 11x+14y=20 | | -22-3x=6-10x | | 5y^2+4=14 | | 8x+2y=30 | | 10(2m+3)=210 | | 94-2x=10x+22 | | 4(9+3x)=84 | | -(y+6)=18 | | 2x+9=69-4x | | 5(2x+7)=95 | | 4(x-3)+x=33 | | 20a^2-13a-21=0 | | 6(x+2x+1)=12x | | 6(4+x)=42 | | 12x+3d-4x+5d= | | 6+3x=26+x | | 9k^2=4k | | 3x-3=10x-73 | | 4(9+2x)=60 | | 5x+30=14x-78 | | 16=38r-12r^2 | | 2(p+3)=-8 | | 4x+3x=21 | | x+7=2(x-1) | | 12x+6=6x+42 | | 72=12y | | 2(7x+5)=80 |

Equations solver categories