Question

How do you solve `-8.4+ 3x - 6.8+ 4x - 2.8= 5.7+ 8x + 1.4`?

Answer 1

`x = 10.9`

Explanation:

First, group and combine like terms on each side of the equation:

`(-8.4 - 6.8 - 2.8) + (3x + 4x) = (5.7 + 1.4) + 8x`

`18 + (3 + 4)x = 7.1 + 8x`

`18 + 7x = 7.1 + 8x`

Now we will isolate the `x` terms on one side of the equation the constants on the other and group the like terms:

`18 + 7x - 7x - 7.1 = 7.1 - 7.1 + 8x - 7x`

`18 + 0 - 7.1 = 0 + 8x - 7x`

`18 - 7.1 = 8x - 7x`

`10.9 = (8 - 7)x`

`10.9 = 1x`

`10.9 = x`