2(4x-1)+5(1+2x)=10(x-9)-9(5-6x)

Solution for 2(4x-1)+5(1+2x)=10(x-9)-9(5-6x) equation:

2(4x-1)+5(1+2x)=10(x-9)-9(5-6x)

We move all terms to the left:

2(4x-1)+5(1+2x)-(10(x-9)-9(5-6x))=0

We add all the numbers together, and all the variables

2(4x-1)+5(2x+1)-(10(x-9)-9(-6x+5))=0

We multiply parentheses

8x+10x-(10(x-9)-9(-6x+5))-2+5=0


We calculate terms in parentheses: -(10(x-9)-9(-6x+5)), so:

10(x-9)-9(-6x+5)

We multiply parentheses

10x+54x-90-45

We add all the numbers together, and all the variables

64x-135

Back to the equation:

-(64x-135)


We add all the numbers together, and all the variables

18x-(64x-135)+3=0

We get rid of parentheses

18x-64x+135+3=0

We add all the numbers together, and all the variables

-46x+138=0

We move all terms containing x to the left, all other terms to the right

-46x=-138

x=-138/-46

x=+3