3(x+5)=7(x-4)

Simple and best practice solution for 3(x+5)=7(x-4) 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 3(x+5)=7(x-4) equation: 


Simplifying
3(x + 5) = 7(x + -4)

Reorder the terms:
3(5 + x) = 7(x + -4)
(5 * 3 + x * 3) = 7(x + -4)
(15 + 3x) = 7(x + -4)

Reorder the terms:
15 + 3x = 7(-4 + x)
15 + 3x = (-4 * 7 + x * 7)
15 + 3x = (-28 + 7x)

Solving
15 + 3x = -28 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
15 + 3x + -7x = -28 + 7x + -7x

Combine like terms: 3x + -7x = -4x
15 + -4x = -28 + 7x + -7x

Combine like terms: 7x + -7x = 0
15 + -4x = -28 + 0
15 + -4x = -28

Add '-15' to each side of the equation.
15 + -15 + -4x = -28 + -15

Combine like terms: 15 + -15 = 0
0 + -4x = -28 + -15
-4x = -28 + -15

Combine like terms: -28 + -15 = -43
-4x = -43

Divide each side by '-4'.
x = 10.75

Simplifying
x = 10.75

See similar equations:

| 0.006-0.03(x+1)=-0.02(1-x) | | -18-18= | | h-15+2n-8=31 | | 2(z-1)=3(z+2) | | 7-6n=-5 | | 18=2v+2 | | 5/6b+15+30 | | 5/2+5/x=-10 | | (-17)(-3)= | | 6(v-5)(v+2)=0 | | 0=12a-8b | | n-4+3=-6 | | 5x+6=17x-2 | | n=3/2m+32 | | 8x^3+48x^2+72x=0 | | -6+2y=12 | | 8+(-3m)=41 | | 13.7b-6.5=2.3b+8.5 | | 4M-5/5=6M+8/7 | | 5/2+5/x=10 | | 3(c-0.20c)=330 | | -2y-8=3y+22 | | 18/3+-36/6= | | 9(2-3)=12z | | 14x-13=12+7 | | 19=x+2x+4 | | X/2-9=-6 | | 3(4M-6)=2(7M-4) | | 3/q=5/6 | | -5x+6y-2= | | 2a+4(a-4)=38 | | 6g+2(-7+2g)=1-g |

Equations solver categories