2(3x-2)+7=5(x-3)+21

Simple and best practice solution for 2(3x-2)+7=5(x-3)+21 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-2)+7=5(x-3)+21 equation:


Simplifying
2(3x + -2) + 7 = 5(x + -3) + 21

Reorder the terms:
2(-2 + 3x) + 7 = 5(x + -3) + 21
(-2 * 2 + 3x * 2) + 7 = 5(x + -3) + 21
(-4 + 6x) + 7 = 5(x + -3) + 21

Reorder the terms:
-4 + 7 + 6x = 5(x + -3) + 21

Combine like terms: -4 + 7 = 3
3 + 6x = 5(x + -3) + 21

Reorder the terms:
3 + 6x = 5(-3 + x) + 21
3 + 6x = (-3 * 5 + x * 5) + 21
3 + 6x = (-15 + 5x) + 21

Reorder the terms:
3 + 6x = -15 + 21 + 5x

Combine like terms: -15 + 21 = 6
3 + 6x = 6 + 5x

Solving
3 + 6x = 6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
3 + 6x + -5x = 6 + 5x + -5x

Combine like terms: 6x + -5x = 1x
3 + 1x = 6 + 5x + -5x

Combine like terms: 5x + -5x = 0
3 + 1x = 6 + 0
3 + 1x = 6

Add '-3' to each side of the equation.
3 + -3 + 1x = 6 + -3

Combine like terms: 3 + -3 = 0
0 + 1x = 6 + -3
1x = 6 + -3

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

Divide each side by '1'.
x = 3

Simplifying
x = 3

See similar equations:

| 1/4(24x-16) | | m/24=-13 | | -24x+37=-131 | | Y=3x+7+3 | | 18x+44=-64 | | x^2-4=14-9x | | 1/6*x=2 | | 6x+3x^2=1.6 | | -9x-9=-18 | | 5.2=0.6x | | 1-ln(x+2)=0 | | T+8=8 | | 2x+5+2x=90 | | 2x+5+2x=180 | | 4/x-5 | | 1/3n-11=10 | | 4(2x-1)=3x+10 | | 2/10=×/12 | | (5u+8)(1+u)=0 | | 10b^2-20b^3=0 | | 0-7y=28 | | 1-ln(x-6)=0 | | 7m+5=88 | | Z-10=21 | | 9x=109-x/2 | | 6a-12a^2=0 | | P/7=7 | | 2/7u=6 | | x^2+6x*32=0 | | 4x-4=3x-12 | | -86-2(11b)+4(5b)+26=0 | | 17=p+11 |

Equations solver categories