3(x+4)+7(x-5)=2(4x+3)-10

Simple and best practice solution for 3(x+4)+7(x-5)=2(4x+3)-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 3(x+4)+7(x-5)=2(4x+3)-10 equation:


Simplifying
3(x + 4) + 7(x + -5) = 2(4x + 3) + -10

Reorder the terms:
3(4 + x) + 7(x + -5) = 2(4x + 3) + -10
(4 * 3 + x * 3) + 7(x + -5) = 2(4x + 3) + -10
(12 + 3x) + 7(x + -5) = 2(4x + 3) + -10

Reorder the terms:
12 + 3x + 7(-5 + x) = 2(4x + 3) + -10
12 + 3x + (-5 * 7 + x * 7) = 2(4x + 3) + -10
12 + 3x + (-35 + 7x) = 2(4x + 3) + -10

Reorder the terms:
12 + -35 + 3x + 7x = 2(4x + 3) + -10

Combine like terms: 12 + -35 = -23
-23 + 3x + 7x = 2(4x + 3) + -10

Combine like terms: 3x + 7x = 10x
-23 + 10x = 2(4x + 3) + -10

Reorder the terms:
-23 + 10x = 2(3 + 4x) + -10
-23 + 10x = (3 * 2 + 4x * 2) + -10
-23 + 10x = (6 + 8x) + -10

Reorder the terms:
-23 + 10x = 6 + -10 + 8x

Combine like terms: 6 + -10 = -4
-23 + 10x = -4 + 8x

Solving
-23 + 10x = -4 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-23 + 10x + -8x = -4 + 8x + -8x

Combine like terms: 10x + -8x = 2x
-23 + 2x = -4 + 8x + -8x

Combine like terms: 8x + -8x = 0
-23 + 2x = -4 + 0
-23 + 2x = -4

Add '23' to each side of the equation.
-23 + 23 + 2x = -4 + 23

Combine like terms: -23 + 23 = 0
0 + 2x = -4 + 23
2x = -4 + 23

Combine like terms: -4 + 23 = 19
2x = 19

Divide each side by '2'.
x = 9.5

Simplifying
x = 9.5

See similar equations:

| (-48)(-30)-(-8)= | | -x^2+21x-38= | | 7+6(1-2m)=25-8m | | 6k-3-25=k-3 | | t=82t+6 | | b+(b-4)=(b+3)-(b+1) | | Y=4/5X | | 5x^5+35x^4+50x^3= | | 16/3=8w | | 5-4x=52 | | x-a=10 | | 2x+36=4(x+9)-2x | | x^4-16x^3-57x^2= | | (x-2)(x-1)=x^2+4x | | ((18x-6)/(12))/((x-8)-(10)) | | b=30 | | 13-(3x+4)=5(x+7)+1 | | 4x+8-1=20 | | 3x^2-2x+15=2x^2+6x | | 8/9g=10 | | f(x)=-x^2-3x+3 | | 3+6a=-63 | | m/3-711 | | 9(x+2)=8+9x | | 2/3-2/1= | | a/2-4=18 | | (b-5)15= | | 468=2x^2 | | 60+27t+3t^2= | | m/13-711 | | 3d^2-20=11d | | -10-(-12)+(-7)-4= |

Equations solver categories