Question

Solve 3 x − 5 = 2 − 6 x for x

Answer 1

`\boxed{\sf \boxed{\sf x=(1)/(3)}\; or\;\boxed{\sf x=0.333...}}`

Explanation:

`\sf 3x-5=2-6`

Subtract numbers:-

`\sf 2-6=\bf -4`

`\sf 3x-5=-4`

Add 5 to both sides:-

`\sf 3x-5+5=-4+5`

Simplify:-

`\sf 3x=1`

Divide both sides by 3:-

`\sf \cfrac{3x}{3}=\cfrac{1}{3}`

Simplify:-

`\sf x=\cfrac{1}{3}`

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Answer 2

x = 7/9

Explanation:

Given equation,

→ 3x - 5 = 2 - 6x

Now the value of x will be,

→ 3x - 5 = 2 - 6x

→ 3x + 6x = 2 + 5

→ 9x = 7

→ [ x = 7/9 ]

Hence, value of x is 7/9.