Respuesta :
Answer:
x = 3
Step-by-step explanation:
2(4x - 3) - 8 = 4 + 2x
The goal is to get all the x's on one side of the equation, and everything else on the other.
Using distributive property, pull (4x - 3) out of it's brackets.
8x - 6 - 8 = 4 + 2x
Moving the 2x from the right side to the left side...
8x - 2x - 6 - 8 = 4
Moving the whole numbers from the left side to the right side...
8x - 2x = 4 + 6 + 8
Adding like terms...
6x = 18
Divide both sides of the equation by 'x' which is 6,
6x/6 = 18/6
Therefore...
x = 3
2(4x - 3) - 8 = 4 + 2x
Mutiply the bracket by 2
(2)(4x)(2)(-3)-8= 4+2x
8x-6-8= 4+2x
8x-14=4+2x
Move +2x to the other side
Sign changes from +2x to -2x.
8x-2x-14= 4+2x-2x
8x-2x-14= 4
Move -14 to the other side
Sign changes from -14 to +14.
8x-2x-14+14= 4+14
8x-2x= 18
6x= 18
Divide both sides by 6
6x/6= 18/6
Cross out 6 and 6 , divide by 6 and then becomes x
x= 3
Answer: x= 3