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

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


Simplifying
3x + -2(x + 3) = 4(x + -2) + -7

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

Reorder the terms:
-6 + 3x + -2x = 4(x + -2) + -7

Combine like terms: 3x + -2x = 1x
-6 + 1x = 4(x + -2) + -7

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

Reorder the terms:
-6 + 1x = -8 + -7 + 4x

Combine like terms: -8 + -7 = -15
-6 + 1x = -15 + 4x

Solving
-6 + 1x = -15 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-6 + 1x + -4x = -15 + 4x + -4x

Combine like terms: 1x + -4x = -3x
-6 + -3x = -15 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + -3x = -15 + 0
-6 + -3x = -15

Add '6' to each side of the equation.
-6 + 6 + -3x = -15 + 6

Combine like terms: -6 + 6 = 0
0 + -3x = -15 + 6
-3x = -15 + 6

Combine like terms: -15 + 6 = -9
-3x = -9

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

Simplifying
x = 3

See similar equations:

| 2ax-10=(a-2)+5a | | 7+4w=13 | | 8-4n=40 | | 2x^2-3x+1(x+5)= | | x^3+30+3x=0 | | x*.16=36 | | (ab^2+10a)-(6ab^2-2ab+8)=y | | 7y-4y+(y-2)=12y+8 | | 5(x-6)=2(x-3) | | 3y^2-11y-224=0 | | 14x-8=36 | | 7=x^2-3 | | 10.28=0.7x+6.08 | | 21+6y+9y=-9 | | 10.96=0.6x+5.56 | | 2(3x-5)-8=4(x-8)+46 | | 2x+5-4x=1 | | 3y=69 | | 2x=e^3 | | -3[x-15]=-4 | | 4x^2-28x-55=0 | | x-2(2x-1)=23 | | (4x-4xy+2y)-(2x+2xy-27y)= | | 15x+15+12x-24=180 | | sqrt(2x+1)+5=sqrt(x+12)-8 | | x-2y=23 | | 8x+22=6 | | 3.00(15.00+x)= | | -3(h-7)=5(3h+3) | | -4x+16=116 | | 2(y+6)+11=51-5y | | -2x-12=2x+10 |

Equations solver categories