Answer:
![x=6](https://img.qammunity.org/2023/formulas/mathematics/college/i3rxl8c1ci3e808oua3cmlxzk41vuam7rn.png)
Explanation:
Given equation:
![x-\left(2x-(3x-4)/(7)\right)=(4x-27)/(3)-3](https://img.qammunity.org/2023/formulas/mathematics/high-school/4uqv5hv4qhwhdmrbi5wu46tuevkyutzdcr.png)
Expand the left side:
![\implies x-2x+(3x-4)/(7)=(4x-27)/(3)-3](https://img.qammunity.org/2023/formulas/mathematics/high-school/e6wfirn5zbtw9i1ercsfkbqaf05xub2z2y.png)
Let all terms on the left side have the same denominator of 7:
![\implies (7x)/(7)-(14x)/(7)+(3x-4)/(7)=(4x-27)/(3)-3](https://img.qammunity.org/2023/formulas/mathematics/high-school/rsf5d3e3348pvebjd2s4sj7rpl8vzb81ql.png)
Join the terms on the left side:
![\implies (7x-14x+3x-4)/(7)=(4x-27)/(3)-3](https://img.qammunity.org/2023/formulas/mathematics/high-school/3jlt98i5mlnp5th8tisqmefokg1ov2mq4x.png)
![\implies (-4x-4)/(7)=(4x-27)/(3)-3](https://img.qammunity.org/2023/formulas/mathematics/high-school/ljhkt92zx32mkv3oikfhcc6uy4enzu0z5x.png)
Let all the terms on the right side have the same denominator of 3:
![\implies (-4x-4)/(7)=(4x-27)/(3)-(9)/(3)](https://img.qammunity.org/2023/formulas/mathematics/high-school/1hxyqy09ecsy5d897sq2pummjf5ff3h9no.png)
Join the terms on the right side:
![\implies (-4x-4)/(7)=(4x-27-9)/(3)](https://img.qammunity.org/2023/formulas/mathematics/high-school/20jpa3v063p3okdl9momwfex6uobfd2eoa.png)
![\implies (-4x-4)/(7)=(4x-36)/(3)](https://img.qammunity.org/2023/formulas/mathematics/high-school/zpkijmdqox9zdko88fnpinx06gbqpbhoam.png)
Cross multiply:
![\implies 3(-4x-4)=7(4x-36)](https://img.qammunity.org/2023/formulas/mathematics/high-school/rmvpwa2wngeu70ysqtt33n91xb6jj060ig.png)
Expand:
![\implies -12x-12=28x-252](https://img.qammunity.org/2023/formulas/mathematics/high-school/qo2uyicim35kbe44liztc7nspo302qh8dn.png)
Add 12x to both sides:
![\implies -12=40x-252](https://img.qammunity.org/2023/formulas/mathematics/high-school/rfp44a3a6ab7m1jese3ub9kqm930b5fowu.png)
Add 252 to both sides:
![\implies 240=40x](https://img.qammunity.org/2023/formulas/mathematics/high-school/nnbjoz8vk996q2fx8mbhw8z2wbrixvzpgv.png)
Divide both sides by 40:
![\implies 6=x](https://img.qammunity.org/2023/formulas/mathematics/high-school/ti05f4dvx4onknmsjsp29vxkhtb6chr653.png)
![\implies x=6](https://img.qammunity.org/2023/formulas/mathematics/high-school/zz9o540beq57vtn6ze5gsd0e5qobgjxezf.png)