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 = 14x
-7 + 14x = -4(4x + 5) + 13

Reorder the terms:
-7 + 14x = -4(5 + 4x) + 13
-7 + 14x = (5 * -4 + 4x * -4) + 13
-7 + 14x = (-20 + -16x) + 13

Reorder the terms:
-7 + 14x = -20 + 13 + -16x

Combine like terms: -20 + 13 = -7
-7 + 14x = -7 + -16x

Add '7' to each side of the equation.
-7 + 7 + 14x = -7 + 7 + -16x

Combine like terms: -7 + 7 = 0
0 + 14x = -7 + 7 + -16x
14x = -7 + 7 + -16x

Combine like terms: -7 + 7 = 0
14x = 0 + -16x
14x = -16x

Solving
14x = -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.
14x + 16x = -16x + 16x

Combine like terms: 14x + 16x = 30x
30x = -16x + 16x

Combine like terms: -16x + 16x = 0
30x = 0

Divide each side by '30'.
x = 0.0

Simplifying
x = 0.0

See similar equations:

| 30x^2+95x+75=0 | | 1/6(10x-4)=7 | | Y-4=5/4(x-1) | | x*115=180 | | x*115=200 | | 2(1+6x)=-18+7xa | | 20=y+(1.5x(15-y)) | | 1*1x=115 | | 20=y+[1.5x(15-y)] | | 29.60=p-12p | | 17615+55d=74815 | | 3y^3=0 | | y^3=0 | | y+(y/8)=0 | | y+(y/8)=8 | | 176154+550d=0 | | 20=z+[1.5x(15-z)] | | 1/5x-1/2=5/4 | | 267.9=.333(3.14)(16)(h) | | y+(y/8)=(450/8) | | y+(y+8)=(450/8) | | 5-8x=28-15 | | 9x+6=26-1x | | 65.9=2*3.14*r | | -19-9x=8x+5 | | x+x-13=61 | | x+x-11=37 | | y+3x=30 | | 136=.5x(8+9) | | 3x-5(x-3)=-9+5x-32 | | 7x(-3x-5)=0 | | 8x^2-28x+25=0 |

Equations solver categories