2(2x+3)+2*3x=3(5x-3)

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


Simplifying
2(2x + 3) + 2 * 3x = 3(5x + -3)

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

Multiply 2 * 3
6 + 4x + 6x = 3(5x + -3)

Combine like terms: 4x + 6x = 10x
6 + 10x = 3(5x + -3)

Reorder the terms:
6 + 10x = 3(-3 + 5x)
6 + 10x = (-3 * 3 + 5x * 3)
6 + 10x = (-9 + 15x)

Solving
6 + 10x = -9 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
6 + 10x + -15x = -9 + 15x + -15x

Combine like terms: 10x + -15x = -5x
6 + -5x = -9 + 15x + -15x

Combine like terms: 15x + -15x = 0
6 + -5x = -9 + 0
6 + -5x = -9

Add '-6' to each side of the equation.
6 + -6 + -5x = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = -9 + -6
-5x = -9 + -6

Combine like terms: -9 + -6 = -15
-5x = -15

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

Simplifying
x = 3

See similar equations:

| 6(y-9)=5(y-7) | | 4(y+8)=7(y+2) | | -25=6(f-2)-5f | | 3x-3=2x+4 | | W-12=-12 | | J-(-8)=-13 | | 2y-8=3y | | M-13=-19 | | (x-11)(x-3)=9 | | 10y=.5 | | 10y=.6 | | 4(y+2)=7+3y | | 8y+1=1+8y | | T-(-47)=61 | | c^2=64 | | I-7=-16 | | E-39=19 | | 3.5s-2s=10.5 | | -7x-18=-x^2 | | 3(n-2)=2n | | U-(-35)=12 | | K-17=-8 | | H-(-6)=6 | | 2x^2-5x-84=-3x | | 30y=18 | | 3(t-24)=7t-4(t+18) | | 10u+7=16u-23 | | M-(-14)=-17 | | x^2+13x=-40 | | 5x-5=6x-1 | | N-7=11 | | x^2-16x=0 |

Equations solver categories