5(-3x-2)-(x-3)=4(4x+5)+13

Simple and best practice solution for 5(-3x-2)-(x-3)=4(4x+5)+13 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(-3x-2)-(x-3)=4(4x+5)+13 equation:


Simplifying
5(-3x + -2) + -1(x + -3) = 4(4x + 5) + 13

Reorder the terms:
5(-2 + -3x) + -1(x + -3) = 4(4x + 5) + 13
(-2 * 5 + -3x * 5) + -1(x + -3) = 4(4x + 5) + 13
(-10 + -15x) + -1(x + -3) = 4(4x + 5) + 13

Reorder the terms:
-10 + -15x + -1(-3 + x) = 4(4x + 5) + 13
-10 + -15x + (-3 * -1 + x * -1) = 4(4x + 5) + 13
-10 + -15x + (3 + -1x) = 4(4x + 5) + 13

Reorder the terms:
-10 + 3 + -15x + -1x = 4(4x + 5) + 13

Combine like terms: -10 + 3 = -7
-7 + -15x + -1x = 4(4x + 5) + 13

Combine like terms: -15x + -1x = -16x
-7 + -16x = 4(4x + 5) + 13

Reorder the terms:
-7 + -16x = 4(5 + 4x) + 13
-7 + -16x = (5 * 4 + 4x * 4) + 13
-7 + -16x = (20 + 16x) + 13

Reorder the terms:
-7 + -16x = 20 + 13 + 16x

Combine like terms: 20 + 13 = 33
-7 + -16x = 33 + 16x

Solving
-7 + -16x = 33 + 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 + -16x + -16x = 33 + 16x + -16x

Combine like terms: -16x + -16x = -32x
-7 + -32x = 33 + 16x + -16x

Combine like terms: 16x + -16x = 0
-7 + -32x = 33 + 0
-7 + -32x = 33

Add '7' to each side of the equation.
-7 + 7 + -32x = 33 + 7

Combine like terms: -7 + 7 = 0
0 + -32x = 33 + 7
-32x = 33 + 7

Combine like terms: 33 + 7 = 40
-32x = 40

Divide each side by '-32'.
x = -1.25

Simplifying
x = -1.25

See similar equations:

| 4de-de= | | (2+3i)+(2-5i)= | | 6(-5-16)=30y+84 | | 5x-3=144 | | 6.86x+4=47.0596+2x | | 9+10=21-3 | | 3(x-18)=3x+18 | | 2+6x-7=8+2x-10+4 | | 3x-7=-18 | | 6-x+4=6-x-4 | | (-3*-n)-7=n+1 | | 5x+3=144 | | V=6*6-2*6 | | ln(23)=x | | (6+2i)-(-1+2i)= | | 4m*2-8mn= | | (-3x-n)-7=n+1 | | 12ab+18b*2= | | a*2+ab-6a= | | yw+yz=r | | 60=16t-t^2 | | pq-2p= | | 1-x=-7+3 | | (4x-3)=ln(7) | | 5(2x+1)=5(x-5) | | 5-2x=4y | | sqrtx=8 | | x=-0.4+0.6y | | 3k=23 | | 6x=3y+12 | | 2h=19 | | y=ln(2)+2ln(3) |

Equations solver categories