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

Simple and best practice solution for 4(3x+2)-6=5(2x+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(3x+2)-6=5(2x+3) equation:


Simplifying
4(3x + 2) + -6 = 5(2x + 3)

Reorder the terms:
4(2 + 3x) + -6 = 5(2x + 3)
(2 * 4 + 3x * 4) + -6 = 5(2x + 3)
(8 + 12x) + -6 = 5(2x + 3)

Reorder the terms:
8 + -6 + 12x = 5(2x + 3)

Combine like terms: 8 + -6 = 2
2 + 12x = 5(2x + 3)

Reorder the terms:
2 + 12x = 5(3 + 2x)
2 + 12x = (3 * 5 + 2x * 5)
2 + 12x = (15 + 10x)

Solving
2 + 12x = 15 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
2 + 12x + -10x = 15 + 10x + -10x

Combine like terms: 12x + -10x = 2x
2 + 2x = 15 + 10x + -10x

Combine like terms: 10x + -10x = 0
2 + 2x = 15 + 0
2 + 2x = 15

Add '-2' to each side of the equation.
2 + -2 + 2x = 15 + -2

Combine like terms: 2 + -2 = 0
0 + 2x = 15 + -2
2x = 15 + -2

Combine like terms: 15 + -2 = 13
2x = 13

Divide each side by '2'.
x = 6.5

Simplifying
x = 6.5

See similar equations:

| (y-5)-(y+4)=10y | | b^-7/b^-3 | | 4(4x+2)=27 | | 21r^2+44r-32= | | 6x^5-9x^4-15x^3=0 | | 3x-7x+1=(3-7)x+1 | | t^2-14t+720=0 | | -5(-2y+9)=-75 | | -5x+7=-5 | | (3x-4y)(5x-2y)= | | -35z^2-11z+6= | | (3x+8)(3-x)=0 | | 5p+3=-12 | | 24-x/2 | | 3.5+2.5(500-x)=1430 | | 0.07x+x=5000 | | 24+25+15+20=1008p | | N^2+5=18-n | | 192=2(x-4)(200/x-4) | | 34r=1435 | | -18x=-9x+72 | | 8x+4=-7 | | 6p-10/25p-50 | | 15x-138=-8x | | (Y-5)-(y+4)=2 | | 5(x-3)+2=-33 | | 4x-1+53=5x | | 63+11x-9=4x-9 | | -6b+3+4b=-3+8 | | 63+11x=4x | | 3/8x9/18 | | -2(z+4)=-34 |

Equations solver categories