5(2x-1)+3(3x+4)=4(4x+7)

Simple and best practice solution for 5(2x-1)+3(3x+4)=4(4x+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(2x-1)+3(3x+4)=4(4x+7) equation:


Simplifying
5(2x + -1) + 3(3x + 4) = 4(4x + 7)

Reorder the terms:
5(-1 + 2x) + 3(3x + 4) = 4(4x + 7)
(-1 * 5 + 2x * 5) + 3(3x + 4) = 4(4x + 7)
(-5 + 10x) + 3(3x + 4) = 4(4x + 7)

Reorder the terms:
-5 + 10x + 3(4 + 3x) = 4(4x + 7)
-5 + 10x + (4 * 3 + 3x * 3) = 4(4x + 7)
-5 + 10x + (12 + 9x) = 4(4x + 7)

Reorder the terms:
-5 + 12 + 10x + 9x = 4(4x + 7)

Combine like terms: -5 + 12 = 7
7 + 10x + 9x = 4(4x + 7)

Combine like terms: 10x + 9x = 19x
7 + 19x = 4(4x + 7)

Reorder the terms:
7 + 19x = 4(7 + 4x)
7 + 19x = (7 * 4 + 4x * 4)
7 + 19x = (28 + 16x)

Solving
7 + 19x = 28 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
7 + 19x + -16x = 28 + 16x + -16x

Combine like terms: 19x + -16x = 3x
7 + 3x = 28 + 16x + -16x

Combine like terms: 16x + -16x = 0
7 + 3x = 28 + 0
7 + 3x = 28

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

Combine like terms: 7 + -7 = 0
0 + 3x = 28 + -7
3x = 28 + -7

Combine like terms: 28 + -7 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

See similar equations:

| x-0.4x=54 | | -6w=120 | | 3x+4-2x+16=8-2x | | 5m+7=52 | | -2n+18=15n-24 | | 2x^2+x-405=0 | | n-3/8=1/8 | | 5x-3=9+8x | | xz+y=1+z | | e^7(x)=11 | | e^7x=11 | | 51=x+(x+1)+(x-1) | | 7x+8-2x+5=33 | | 5(c+2)+7c= | | 42=2(l+w) | | 2(y+3)= | | 6x^2+15x-8x-20=0 | | 8y+y-2y-8y= | | (-2x)*(-7x)= | | 10x-12=3x+5 | | 7z-10z= | | 2n-3n= | | 5(x-y)= | | 7x*5x*3x= | | Log(3x-5)=20 | | 3t^2+9-2=0 | | 5(9x-6x)= | | -(x+2)-2x=2(x+1) | | 12m^2+20m-8=0 | | (5y-9)(3-y)=0 | | 7x(3-2)= | | X(3+6)= |

Equations solver categories