2(3x-4)+5(x+4)=3(x+7)-(x+6)

Simple and best practice solution for 2(3x-4)+5(x+4)=3(x+7)-(x+6) 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(3x-4)+5(x+4)=3(x+7)-(x+6) equation:


Simplifying
2(3x + -4) + 5(x + 4) = 3(x + 7) + -1(x + 6)

Reorder the terms:
2(-4 + 3x) + 5(x + 4) = 3(x + 7) + -1(x + 6)
(-4 * 2 + 3x * 2) + 5(x + 4) = 3(x + 7) + -1(x + 6)
(-8 + 6x) + 5(x + 4) = 3(x + 7) + -1(x + 6)

Reorder the terms:
-8 + 6x + 5(4 + x) = 3(x + 7) + -1(x + 6)
-8 + 6x + (4 * 5 + x * 5) = 3(x + 7) + -1(x + 6)
-8 + 6x + (20 + 5x) = 3(x + 7) + -1(x + 6)

Reorder the terms:
-8 + 20 + 6x + 5x = 3(x + 7) + -1(x + 6)

Combine like terms: -8 + 20 = 12
12 + 6x + 5x = 3(x + 7) + -1(x + 6)

Combine like terms: 6x + 5x = 11x
12 + 11x = 3(x + 7) + -1(x + 6)

Reorder the terms:
12 + 11x = 3(7 + x) + -1(x + 6)
12 + 11x = (7 * 3 + x * 3) + -1(x + 6)
12 + 11x = (21 + 3x) + -1(x + 6)

Reorder the terms:
12 + 11x = 21 + 3x + -1(6 + x)
12 + 11x = 21 + 3x + (6 * -1 + x * -1)
12 + 11x = 21 + 3x + (-6 + -1x)

Reorder the terms:
12 + 11x = 21 + -6 + 3x + -1x

Combine like terms: 21 + -6 = 15
12 + 11x = 15 + 3x + -1x

Combine like terms: 3x + -1x = 2x
12 + 11x = 15 + 2x

Solving
12 + 11x = 15 + 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.
12 + 11x + -2x = 15 + 2x + -2x

Combine like terms: 11x + -2x = 9x
12 + 9x = 15 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + 9x = 15 + 0
12 + 9x = 15

Add '-12' to each side of the equation.
12 + -12 + 9x = 15 + -12

Combine like terms: 12 + -12 = 0
0 + 9x = 15 + -12
9x = 15 + -12

Combine like terms: 15 + -12 = 3
9x = 3

Divide each side by '9'.
x = 0.3333333333

Simplifying
x = 0.3333333333

See similar equations:

| 25=x^2+2x^2 | | (x-2)180=165x | | 3(2x-5)+6(x-4)=-3(5-5x)+5x-6 | | X/3=7/8 | | -8x+30=4x-34 | | 7/6*4 | | (5-5x)(x^3+6)= | | 3m+6=2m-2 | | 5x(3+6)+10=46 | | f(x)=13x^5+3x^2 | | .50x+.20y=3.00 | | N*2-4=x | | 1+x=3+4x | | 500-y=x | | 1-1/3-1/3 | | (5-x^2)(x+4x^6)= | | 0.00230*12430= | | 0.21cm*3.2cm*100.1cm= | | (3x^2+3)(4+x^3)= | | 5x-9=-x+19 | | -7(x+3)+3x+6=5x+9 | | sin(-x)=0.15 | | a-5(b-5(x-c))=6 | | -15=5(3q-10)-5w | | 10x+200=550 | | 1/3/T=7 | | 2(4x-5+8y)= | | 4(7-(-8x-9))=96x+136 | | 7x-4=94 | | 5/6x-2/3-x=0 | | 2x+4-5(x+1)=6x+3 | | 5(2n+3)=9(6n+9)+8 |

Equations solver categories