5(x+2)=-3(x-7)+53

Simple and best practice solution for 5(x+2)=-3(x-7)+53 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-7)+53 equation: 


Simplifying
5(x + 2) = -3(x + -7) + 53

Reorder the terms:
5(2 + x) = -3(x + -7) + 53
(2 * 5 + x * 5) = -3(x + -7) + 53
(10 + 5x) = -3(x + -7) + 53

Reorder the terms:
10 + 5x = -3(-7 + x) + 53
10 + 5x = (-7 * -3 + x * -3) + 53
10 + 5x = (21 + -3x) + 53

Reorder the terms:
10 + 5x = 21 + 53 + -3x

Combine like terms: 21 + 53 = 74
10 + 5x = 74 + -3x

Solving
10 + 5x = 74 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
10 + 5x + 3x = 74 + -3x + 3x

Combine like terms: 5x + 3x = 8x
10 + 8x = 74 + -3x + 3x

Combine like terms: -3x + 3x = 0
10 + 8x = 74 + 0
10 + 8x = 74

Add '-10' to each side of the equation.
10 + -10 + 8x = 74 + -10

Combine like terms: 10 + -10 = 0
0 + 8x = 74 + -10
8x = 74 + -10

Combine like terms: 74 + -10 = 64
8x = 64

Divide each side by '8'.
x = 8

Simplifying
x = 8

See similar equations:

| x(8x+17)=3x^2-21x+63 | | 6x-7y=11z | | 36-5r=11 | | 17*sqrt(-1)+3z=z*sqrt(-1)+11 | | siplify2a-6/12 | | 240=3(2L)+2w | | 4j-7=13 | | M^2+10m=-24 | | (2x+7)(5x^2-22x+8)=0 | | Sin(3x)+sin(x)=0 | | 16t=32 | | V^2-2v=48 | | 2a-6/12 | | 12t^2=45+51t | | 2X-35/x=5/3 | | 5w^2+29w+36=0 | | S^2=-12-8s | | G+3P-0.33S=10 | | 3G+3P-S=30 | | 5x+yn=6 | | 1/6180m | | x^2+7x+6x+30=12x | | 2G+P+S=20 | | px^2+px+2q=2+10x | | y=-7x^2+15x-8 | | x^4=0.625 | | 10log(3L)=30 | | X*2+2x=9 | | 20x^2+13x=0 | | 9x/2-x=x/10-4/5 | | (y-sqrtx^2+y^2)dx-xdy=0 | | 30×1/6 |

Equations solver categories