Expert Answers
baxthum8 eNotes educator| Certified Educator

Solve `x -4(x - 3) = 6 - (x - 4).`

First distribute -4 on the left side of equation and distribute (-) on right side of equation.

`x - 4x + 12 + 7 = 6 - x + 4`

Now combine like terms on each side.

`-3x + 19 = -x + 10`

Add x to each side to remove x from right side.

`-3x + x + 19 = -x + x + 10`

`-2x + 19 = 10`

Subtract 19 from each side to isolate x.

`-2x + 19-19 = 10 - 19`

`-2x = -9`

Divide both sides by -2 to isolate x.

`(-2x)/(-2) = (-9)/(-2)`

`x = 9/2`

The solution is x = `9/2`  or 4.5.

flbyrne eNotes educator| Certified Educator

Solve multiplication and parenthesis first.

`x-4x+12+7=6-x+4`

Add x to both sides, so that all x terms are on the same side.

`x-4x+x+12+7=6+4`

Subtract 12+7 to both sides, so that all the constants are on the same side.

`x-4x+x=6+4-12-7`

Simplify each side.

`-2x=-9`

Divide both sides by -2

`x=(-9)/-2`

Therefore x=4.5

malkaam | Student

x - 4 (x - 3) + 7 = 6 - (x - 4)

To solve this follow the order of operations also known as BODMAS or PEMDAS,

x - 4x + 12 + 7 = 6 - x + 4 

-3x + 19 = 10 - x

-3x + 19 - 19 = 10 - x - 19

-3x = -9 - x

-3x + x = -9 - x + x

-2x = -9

-2x/-2 = -9/-2

x = -9/-2

x = -9/2 Answer.

zumba96 | Student

Use PEMDAS and distribute

x-4(x-3)+7=6-(x-4)

x-4x+12+7=6-x+4

Move all the variables to one side

x-4x+x=-12-7+6+4

-3x+19=10-x

-2x=-9

x=9/2

jess1999 | Student

x - 4 ( x - 3 ) + 7 = 6-( x - 4 )

First distribute

By distributing, your equation should look like

x - 4x + 12 + 7 = 6 - x + 4 now combine like terms

By combining the like terms your equation should be

-3x + 19 = 10 - x add " x " on both sides

By adding, your equation should look like

-2x + 19 = 10 subtract 19 on both sides

By subtracting your equation should look like

-2x = -9 divide -2 on both sides

By dividing, your equation should look like

x = 9/2 which is your answer

nisarg | Student

x-4(x-3)+7=6-(x-4)

x-4x+12+7=6-(x-4)   multiply by 4

x-4x+12+7=6-x+4

-3x+19=10-x           simplify

9=2x 

x=9/2

atyourservice | Student

`x-4(x-3)+7=6-(x-4)`

use the distributive property

`x-4x+12+7=6-x+4`

combine like terms

`x-4x+x=-12-7+6+4`

`-2x=-9`

divide by -2 to get x by itself

`(-2x)/-2 = (-9)/(-2)`

`x=9/2`

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