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

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


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

Reorder the terms:
4(-2 + x) + 10 = 5(2x + -10)
(-2 * 4 + x * 4) + 10 = 5(2x + -10)
(-8 + 4x) + 10 = 5(2x + -10)

Reorder the terms:
-8 + 10 + 4x = 5(2x + -10)

Combine like terms: -8 + 10 = 2
2 + 4x = 5(2x + -10)

Reorder the terms:
2 + 4x = 5(-10 + 2x)
2 + 4x = (-10 * 5 + 2x * 5)
2 + 4x = (-50 + 10x)

Solving
2 + 4x = -50 + 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.
2 + 4x + -10x = -50 + 10x + -10x

Combine like terms: 4x + -10x = -6x
2 + -6x = -50 + 10x + -10x

Combine like terms: 10x + -10x = 0
2 + -6x = -50 + 0
2 + -6x = -50

Add '-2' to each side of the equation.
2 + -2 + -6x = -50 + -2

Combine like terms: 2 + -2 = 0
0 + -6x = -50 + -2
-6x = -50 + -2

Combine like terms: -50 + -2 = -52
-6x = -52

Divide each side by '-6'.
x = 8.666666667

Simplifying
x = 8.666666667

See similar equations:

| -[4z-(11z+9)]=9+(6z+4) | | 4x+61= | | (4x+61)= | | -18=14+y | | x+0.1x=347401 | | (3w^9)(4x^6w^6)(4x)= | | 25y^2+16=40y | | -2(v-1)=-6v-26 | | 3(2x-9)=-3 | | -6v+40=-4(v-9) | | 9x+4=10+8x | | -9(w-4)=-4w+31 | | 5y+7=4y-3 | | 6=6(u+4)-8u | | 2w+2(w-5)=-26 | | 6=2n+n | | 16x^2-56x+44=0 | | 9.8+5.5x=x+35.4 | | (3)X=4(3) | | cotx+tan(x-90)= | | 2a-9.3=.8+5.1 | | 5t-6=2 | | 12a^3+22a^2-70a= | | 19r+11s-16r-15s= | | 3x+5x=-37 | | cotx+tan(x-90)=0 | | 3m+2n+7m+4n= | | 3x+5.6=7.12 | | 5x^2+3=113 | | -6.1(4p+6)-2.1(3p-5)= | | 25a^2-60ab+36b^2=0 | | 3(x-2)-4x=3(x+2)+2x |

Equations solver categories