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

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


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

Reorder the terms:
4(3 + x) + 3(x + -5) = 2(x + -9)
(3 * 4 + x * 4) + 3(x + -5) = 2(x + -9)
(12 + 4x) + 3(x + -5) = 2(x + -9)

Reorder the terms:
12 + 4x + 3(-5 + x) = 2(x + -9)
12 + 4x + (-5 * 3 + x * 3) = 2(x + -9)
12 + 4x + (-15 + 3x) = 2(x + -9)

Reorder the terms:
12 + -15 + 4x + 3x = 2(x + -9)

Combine like terms: 12 + -15 = -3
-3 + 4x + 3x = 2(x + -9)

Combine like terms: 4x + 3x = 7x
-3 + 7x = 2(x + -9)

Reorder the terms:
-3 + 7x = 2(-9 + x)
-3 + 7x = (-9 * 2 + x * 2)
-3 + 7x = (-18 + 2x)

Solving
-3 + 7x = -18 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-3 + 7x + -2x = -18 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-3 + 5x = -18 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + 5x = -18 + 0
-3 + 5x = -18

Add '3' to each side of the equation.
-3 + 3 + 5x = -18 + 3

Combine like terms: -3 + 3 = 0
0 + 5x = -18 + 3
5x = -18 + 3

Combine like terms: -18 + 3 = -15
5x = -15

Divide each side by '5'.
x = -3

Simplifying
x = -3

See similar equations:

| 10(x-5)=10x-50 | | -4r(r+6)=-63 | | LN(18.4)= | | -2(1)-9y=-23 | | 10x+5y=124 | | 8x+10=-3x-18 | | 5m^2+7m=-15 | | (7*16)(4+2)-(15+15)(24-4)= | | (cosx+sinx)(cosx+sinx)=1 | | 2.5=3LOG(2+x) | | 5x+12=-7x-19 | | 7-2ln(x)=3 | | 6y=4x+-36 | | 6(y+4)-2y=-8 | | 5m^2+7m=15 | | -4(1)-9y=-23 | | 4x-3=6x-8 | | 10=4n-10 | | 8t-11=6t-7 | | 24b+160=16 | | -(7p-3)+8=5(1-2p) | | 8n^2+48n-128=0 | | (8+b)(3)+6b+12+10b= | | 48=r(600) | | 3x^2-27x-60=0 | | 5n-40=3 | | 2l-15=l-8 | | 5=2n+9 | | 25+(0.91b)=47 | | 2x*2x-30=2 | | 2(a-3)-7(1-3a)=4a+6a | | 6x-20=5x+15 |

Equations solver categories