5(3x+10)-2(2x+9)=4-9(3x+2)

Simple and best practice solution for 5(3x+10)-2(2x+9)=4-9(3x+2) 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+10)-2(2x+9)=4-9(3x+2) equation:


Simplifying
5(3x + 10) + -2(2x + 9) = 4 + -9(3x + 2)

Reorder the terms:
5(10 + 3x) + -2(2x + 9) = 4 + -9(3x + 2)
(10 * 5 + 3x * 5) + -2(2x + 9) = 4 + -9(3x + 2)
(50 + 15x) + -2(2x + 9) = 4 + -9(3x + 2)

Reorder the terms:
50 + 15x + -2(9 + 2x) = 4 + -9(3x + 2)
50 + 15x + (9 * -2 + 2x * -2) = 4 + -9(3x + 2)
50 + 15x + (-18 + -4x) = 4 + -9(3x + 2)

Reorder the terms:
50 + -18 + 15x + -4x = 4 + -9(3x + 2)

Combine like terms: 50 + -18 = 32
32 + 15x + -4x = 4 + -9(3x + 2)

Combine like terms: 15x + -4x = 11x
32 + 11x = 4 + -9(3x + 2)

Reorder the terms:
32 + 11x = 4 + -9(2 + 3x)
32 + 11x = 4 + (2 * -9 + 3x * -9)
32 + 11x = 4 + (-18 + -27x)

Combine like terms: 4 + -18 = -14
32 + 11x = -14 + -27x

Solving
32 + 11x = -14 + -27x

Solving for variable 'x'.

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

Add '27x' to each side of the equation.
32 + 11x + 27x = -14 + -27x + 27x

Combine like terms: 11x + 27x = 38x
32 + 38x = -14 + -27x + 27x

Combine like terms: -27x + 27x = 0
32 + 38x = -14 + 0
32 + 38x = -14

Add '-32' to each side of the equation.
32 + -32 + 38x = -14 + -32

Combine like terms: 32 + -32 = 0
0 + 38x = -14 + -32
38x = -14 + -32

Combine like terms: -14 + -32 = -46
38x = -46

Divide each side by '38'.
x = -1.210526316

Simplifying
x = -1.210526316

See similar equations:

| 3x-37=x+91 | | 2d+18=2d+18 | | -180x^2+21x^3+3x^4=0 | | 12z+2y+3z-y= | | 103+x=93+x | | 4(x+2)=-3(-2x-4)+x | | 9y=8y-3 | | -13=9+2n | | 2x^2+5x+12=0 | | c=-3+0.1y | | 6x+30=-36 | | 2x+3=9x-11 | | 0.25(28x-8)=7x-2 | | (b+45)+(2b-90)+b+90=540 | | 8x-5+10x+14=180 | | -16+x=-6(2x+6)-6 | | -5b-2=33 | | -4(5x-5)=-20 | | 3(3m-2)=2(m+3) | | 27=s^3 | | 0.7x-5=x | | 180x^2+21x^3+3x^4=0 | | 2x-17=x+12 | | 8+423+4= | | 3x-5=7+3x | | 7x-3(2x+5)=-(x+3)+6 | | 0.6x-5=x | | 2x^2-20x+1x-10=90 | | -9+9c=-13 | | -3x^2+3x+6=0 | | X^2-50=50 | | 3x-9=x+117 |

Equations solver categories