8(x-1)-5(x-3)=2(x+8)

Simple and best practice solution for 8(x-1)-5(x-3)=2(x+8) 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 8(x-1)-5(x-3)=2(x+8) equation:


Simplifying
8(x + -1) + -5(x + -3) = 2(x + 8)

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

Reorder the terms:
-8 + 8x + -5(-3 + x) = 2(x + 8)
-8 + 8x + (-3 * -5 + x * -5) = 2(x + 8)
-8 + 8x + (15 + -5x) = 2(x + 8)

Reorder the terms:
-8 + 15 + 8x + -5x = 2(x + 8)

Combine like terms: -8 + 15 = 7
7 + 8x + -5x = 2(x + 8)

Combine like terms: 8x + -5x = 3x
7 + 3x = 2(x + 8)

Reorder the terms:
7 + 3x = 2(8 + x)
7 + 3x = (8 * 2 + x * 2)
7 + 3x = (16 + 2x)

Solving
7 + 3x = 16 + 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.
7 + 3x + -2x = 16 + 2x + -2x

Combine like terms: 3x + -2x = 1x
7 + 1x = 16 + 2x + -2x

Combine like terms: 2x + -2x = 0
7 + 1x = 16 + 0
7 + 1x = 16

Add '-7' to each side of the equation.
7 + -7 + 1x = 16 + -7

Combine like terms: 7 + -7 = 0
0 + 1x = 16 + -7
1x = 16 + -7

Combine like terms: 16 + -7 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9

See similar equations:

| 15=1/2(3) | | 8x+y=2862 | | 10w=8000 | | 14+9=19 | | 5x^2+50x^2-x-10=0 | | 4x/3-3=4/15-16/15 | | 6x+1-7x=7(x+6) | | 4x-7x+45=4x+38 | | 6x+1-7=7(x+6) | | e^900x=1.25 | | 2x-95/x | | X^2+X-10=-7X+5 | | X^2+14X+10=4X+1 | | 6v-x=w | | 4*13= | | 8x+6z=2+5y | | U=y(a+r) | | 2v+7v=18 | | 490=10+6+6 | | 8x^2/8x-1 | | 1-3*X+2.75X^2-0.75X^3=0 | | -(3-4)=5 | | 1-3*X+2.75*X^2-0.75*X^3=0 | | 3(2l+1)=36 | | 3x-4(17)= | | X-1/2y=6 | | 7y+3x=2050 | | (2x)*10=100 | | 100-10x+0.1x^2=500 | | Y=45-y+3 | | 8+x+y=53 | | 35=179-v |

Equations solver categories