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

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


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

Reorder the terms:
4(3 + 2x) + -3(x + 3) = 2(3x + -2) + (x + -3)
(3 * 4 + 2x * 4) + -3(x + 3) = 2(3x + -2) + (x + -3)
(12 + 8x) + -3(x + 3) = 2(3x + -2) + (x + -3)

Reorder the terms:
12 + 8x + -3(3 + x) = 2(3x + -2) + (x + -3)
12 + 8x + (3 * -3 + x * -3) = 2(3x + -2) + (x + -3)
12 + 8x + (-9 + -3x) = 2(3x + -2) + (x + -3)

Reorder the terms:
12 + -9 + 8x + -3x = 2(3x + -2) + (x + -3)

Combine like terms: 12 + -9 = 3
3 + 8x + -3x = 2(3x + -2) + (x + -3)

Combine like terms: 8x + -3x = 5x
3 + 5x = 2(3x + -2) + (x + -3)

Reorder the terms:
3 + 5x = 2(-2 + 3x) + (x + -3)
3 + 5x = (-2 * 2 + 3x * 2) + (x + -3)
3 + 5x = (-4 + 6x) + (x + -3)

Reorder the terms:
3 + 5x = -4 + 6x + (-3 + x)

Remove parenthesis around (-3 + x)
3 + 5x = -4 + 6x + -3 + x

Reorder the terms:
3 + 5x = -4 + -3 + 6x + x

Combine like terms: -4 + -3 = -7
3 + 5x = -7 + 6x + x

Combine like terms: 6x + x = 7x
3 + 5x = -7 + 7x

Solving
3 + 5x = -7 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
3 + 5x + -7x = -7 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
3 + -2x = -7 + 0
3 + -2x = -7

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

Combine like terms: 3 + -3 = 0
0 + -2x = -7 + -3
-2x = -7 + -3

Combine like terms: -7 + -3 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

See similar equations:

| 64x^2-16x+441=0 | | 3t+-6t+8=7t+-2 | | -5b=8-4b | | -7+3(-2)-10= | | 7b^2+5=33 | | -7g=-4g+3 | | -2/3+x=-6/7 | | 6-10h=-4 | | 3+2x+5=28 | | 2f+4f-9=7f+1 | | 4-(4x+3)=5x+1 | | 4-2(-5)-(-3)= | | d-10=-d+10 | | X^(1/4)-81=0 | | 1.6x-1.6=2.5x+3.3-3.3x | | -10p=9-9p | | -v+10=8v-8 | | 4(x-1)+2(3+b)=8 | | g(b+2)=7x-5 | | -17+6=m-2 | | 119=x-119 | | -11x=33 | | -6y-12+2y= | | 6x-2-3x=13 | | 5x^4-15x^3=0 | | 0.3x+3=0.3x-2+k | | 5z=6+4z | | x-6=-4+5 | | g(2b)=7x-5 | | 2808=8+3.5x | | 7y+4=3y | | -7(5w-2u-6)= |

Equations solver categories