Respuesta :
4x+3(2-x)=8-2x
Multiply the bracket by 3
(3)(2)=6x
(3)(-x)=-3x
4x+6-3x=8-2x
4x-3x+6=8-2x ( combine like terms)
x+6=8-2x
Move -2x to the other side. Sign changes from -2x to +2x.
x+2x+6=8-2x+2x
x+2x+6=8
3x+6=8
Move +6 to the other side. Sign changes from +6 to -6.
3x+6-6=8-6
3x=2
Divide by 3 for both sides to get x by itself.
3x/3=2/3
Cross out 3 and 3, divide by 3 and then becomes 1*1*x=x
Answer: 2/3
you would would PEMDAS (parentheses, exponents, multiplication, division, addition and subtraction) and do it in that order.
so 4x+3(2-x)=8-2x step by step is:
parentheses: (distributive property)
4x+6-3x=8-2x
no exponents.
no multiplication.
no division.
addition:
4x+6-3x=8-2x
4x and -3x have a variable in common, so:
4x-3x+6=8-2x
———->
x+6=8-2x
add 2x to both sides
3x+6=8
now subtract 2 from each side.
3x=2
divide by 3, final answer is x=2/3
so 4x+3(2-x)=8-2x step by step is:
parentheses: (distributive property)
4x+6-3x=8-2x
no exponents.
no multiplication.
no division.
addition:
4x+6-3x=8-2x
4x and -3x have a variable in common, so:
4x-3x+6=8-2x
———->
x+6=8-2x
add 2x to both sides
3x+6=8
now subtract 2 from each side.
3x=2
divide by 3, final answer is x=2/3