4(x+7)=9(x-1)+22

Simple and best practice solution for 4(x+7)=9(x-1)+22 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(x+7)=9(x-1)+22 equation:


Simplifying
4(x + 7) = 9(x + -1) + 22

Reorder the terms:
4(7 + x) = 9(x + -1) + 22
(7 * 4 + x * 4) = 9(x + -1) + 22
(28 + 4x) = 9(x + -1) + 22

Reorder the terms:
28 + 4x = 9(-1 + x) + 22
28 + 4x = (-1 * 9 + x * 9) + 22
28 + 4x = (-9 + 9x) + 22

Reorder the terms:
28 + 4x = -9 + 22 + 9x

Combine like terms: -9 + 22 = 13
28 + 4x = 13 + 9x

Solving
28 + 4x = 13 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
28 + 4x + -9x = 13 + 9x + -9x

Combine like terms: 4x + -9x = -5x
28 + -5x = 13 + 9x + -9x

Combine like terms: 9x + -9x = 0
28 + -5x = 13 + 0
28 + -5x = 13

Add '-28' to each side of the equation.
28 + -28 + -5x = 13 + -28

Combine like terms: 28 + -28 = 0
0 + -5x = 13 + -28
-5x = 13 + -28

Combine like terms: 13 + -28 = -15
-5x = -15

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

Simplifying
x = 3

See similar equations:

| 15x^2-47x+30=0 | | 32+x=3(8+x) | | -10a=-8+12 | | -7+3(1+5)v= | | 6v+4y=8y+3v | | 7m+8=100m-7 | | 5000•24/1000 | | 6x=2x-(2-4) | | 4x+x-18=-72 | | 3-6x=-5 | | (4+x)(x)=396 | | 6x-11=12x+7 | | 84+x=19 | | -b/6-4=3 | | -4.9t^2+9.8t-3.675=0 | | G(x+4)=2x+7-6x | | 2/5÷1/32 | | 3+x=32(18) | | 3x=(-2x*-2x)-7 | | x^2+10x+25=37 | | 3+x=32 | | 4(2x+2)-2x=-22 | | 6x+6x=100 | | u^2-(2u)-8=0 | | 2x+3x=88 | | -4.9t^2+9.8t+3=0 | | X-124=36.12 | | 19k=5 | | 4x^2-24x+180=144 | | -25x+18x-8=27 | | 360=(x^3)-(x^2) | | X/5=4/36 |

Equations solver categories