6(x+50)+10(x-2)+8(x-10)=7(x-5)+3(x-6)+2

Simple and best practice solution for 6(x+50)+10(x-2)+8(x-10)=7(x-5)+3(x-6)+2 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 6(x+50)+10(x-2)+8(x-10)=7(x-5)+3(x-6)+2 equation: 


Simplifying
6(x + 50) + 10(x + -2) + 8(x + -10) = 7(x + -5) + 3(x + -6) + 2

Reorder the terms:
6(50 + x) + 10(x + -2) + 8(x + -10) = 7(x + -5) + 3(x + -6) + 2
(50 * 6 + x * 6) + 10(x + -2) + 8(x + -10) = 7(x + -5) + 3(x + -6) + 2
(300 + 6x) + 10(x + -2) + 8(x + -10) = 7(x + -5) + 3(x + -6) + 2

Reorder the terms:
300 + 6x + 10(-2 + x) + 8(x + -10) = 7(x + -5) + 3(x + -6) + 2
300 + 6x + (-2 * 10 + x * 10) + 8(x + -10) = 7(x + -5) + 3(x + -6) + 2
300 + 6x + (-20 + 10x) + 8(x + -10) = 7(x + -5) + 3(x + -6) + 2

Reorder the terms:
300 + 6x + -20 + 10x + 8(-10 + x) = 7(x + -5) + 3(x + -6) + 2
300 + 6x + -20 + 10x + (-10 * 8 + x * 8) = 7(x + -5) + 3(x + -6) + 2
300 + 6x + -20 + 10x + (-80 + 8x) = 7(x + -5) + 3(x + -6) + 2

Reorder the terms:
300 + -20 + -80 + 6x + 10x + 8x = 7(x + -5) + 3(x + -6) + 2

Combine like terms: 300 + -20 = 280
280 + -80 + 6x + 10x + 8x = 7(x + -5) + 3(x + -6) + 2

Combine like terms: 280 + -80 = 200
200 + 6x + 10x + 8x = 7(x + -5) + 3(x + -6) + 2

Combine like terms: 6x + 10x = 16x
200 + 16x + 8x = 7(x + -5) + 3(x + -6) + 2

Combine like terms: 16x + 8x = 24x
200 + 24x = 7(x + -5) + 3(x + -6) + 2

Reorder the terms:
200 + 24x = 7(-5 + x) + 3(x + -6) + 2
200 + 24x = (-5 * 7 + x * 7) + 3(x + -6) + 2
200 + 24x = (-35 + 7x) + 3(x + -6) + 2

Reorder the terms:
200 + 24x = -35 + 7x + 3(-6 + x) + 2
200 + 24x = -35 + 7x + (-6 * 3 + x * 3) + 2
200 + 24x = -35 + 7x + (-18 + 3x) + 2

Reorder the terms:
200 + 24x = -35 + -18 + 2 + 7x + 3x

Combine like terms: -35 + -18 = -53
200 + 24x = -53 + 2 + 7x + 3x

Combine like terms: -53 + 2 = -51
200 + 24x = -51 + 7x + 3x

Combine like terms: 7x + 3x = 10x
200 + 24x = -51 + 10x

Solving
200 + 24x = -51 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
200 + 24x + -10x = -51 + 10x + -10x

Combine like terms: 24x + -10x = 14x
200 + 14x = -51 + 10x + -10x

Combine like terms: 10x + -10x = 0
200 + 14x = -51 + 0
200 + 14x = -51

Add '-200' to each side of the equation.
200 + -200 + 14x = -51 + -200

Combine like terms: 200 + -200 = 0
0 + 14x = -51 + -200
14x = -51 + -200

Combine like terms: -51 + -200 = -251
14x = -251

Divide each side by '14'.
x = -17.92857143

Simplifying
x = -17.92857143

See similar equations:

| 11v-20+17v=18v+20 | | 7f-5=8f+9-2f | | 3y+5=2(y+1)+y | | 7t+6t=61+19-15 | | 3a=0.51 | | 4(z-16)=12 | | 5x-12=2x+24 | | 7y-9=10y+3 | | 4x-66=-2x+90 | | 9z=8z+4 | | 20(x+5)=10(x+5) | | 9-6x-7-15x=5 | | 13=x+(-2) | | 8=-5-n | | 6+7h=9h | | x+3x-14+x+4=180 | | -8+k=-2k+10 | | 6x-(2x+5)=23 | | 5(x+3)=3x+1 | | 7(-7+r)=84 | | 10c-4=3c+6+9c | | 12x+4=12x+10 | | -2-5(5-6n)=-27 | | 4y+3=18 | | 2(x+3)+6x=3(9-x) | | 6+5-4x=1-4 | | 4=2(z-8) | | -6d=-5d+7 | | -n-4=-2n+6 | | 16(x-4)=8(x-8) | | 3(u+-2)=0 | | -15+m=39 |

Equations solver categories