5(x-7)+10=2(x+7)

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


Simplifying
5(x + -7) + 10 = 2(x + 7)

Reorder the terms:
5(-7 + x) + 10 = 2(x + 7)
(-7 * 5 + x * 5) + 10 = 2(x + 7)
(-35 + 5x) + 10 = 2(x + 7)

Reorder the terms:
-35 + 10 + 5x = 2(x + 7)

Combine like terms: -35 + 10 = -25
-25 + 5x = 2(x + 7)

Reorder the terms:
-25 + 5x = 2(7 + x)
-25 + 5x = (7 * 2 + x * 2)
-25 + 5x = (14 + 2x)

Solving
-25 + 5x = 14 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-25 + 5x + -2x = 14 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-25 + 3x = 14 + 2x + -2x

Combine like terms: 2x + -2x = 0
-25 + 3x = 14 + 0
-25 + 3x = 14

Add '25' to each side of the equation.
-25 + 25 + 3x = 14 + 25

Combine like terms: -25 + 25 = 0
0 + 3x = 14 + 25
3x = 14 + 25

Combine like terms: 14 + 25 = 39
3x = 39

Divide each side by '3'.
x = 13

Simplifying
x = 13

See similar equations:

| 4x+x=-2.4 | | 20+16x= | | 9-6(2z+1)=-3(4z-1) | | 14(.3n+.32)=5.67-(.5-4.23n) | | 4.9z+4.6=3.2z-2.2 | | 9x=21 | | z-2-6=-16 | | 5t-(2t+14)=3t-4 | | x^2-4x-5x+20= | | x^2-4x-5x+20= | | 2x^2+3x=15 | | 3x-5(x-4)=-8+3x-2 | | 11x-9=6x+11 | | -14-2n=n+7 | | 8r+1=12r+27 | | 3y+505=1000 | | 3z-7+8z=6+11z-3 | | 8a^5-8a^4-48a^3= | | 11x-=6x+11 | | -4=x^2+3x | | 2z+3+z=6 | | -5+7+2k-3k+1k=8+7 | | 17x^3y^2+51xy= | | 4m+-5=21 | | -3y-1+2y=3y-19-2y | | 3-(x+4)+5=3x+10-4x | | 2a+7= | | 6y^2-6y-12= | | 5x+4=8x+5 | | -6n-6+8n=-5+2n-1 | | 200-4x=32+24 | | 2x+14-3x=-56 |

Equations solver categories