$4\left(2-3x\right)=-2x-27$

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Final answer to the problem

$x=\frac{7}{2}$
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Step-by-step Solution

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1

Factor the polynomial $-2x-27$ by it's greatest common factor (GCF): $-1$

$4\left(2-3x\right)=-\left(2x+27\right)$

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$4\left(2-3x\right)=-\left(2x+27\right)$

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Learn how to solve problems step by step online. 4(2-3x)=-2x-27. Factor the polynomial -2x-27 by it's greatest common factor (GCF): -1. Apply the formula: mx=ny\to \frac{m}{mcd\left(m,n\right)}x=\frac{n}{mcd\left(m,n\right)}y, where x=2-3x, y=2x+27, mx=ny=4\left(2-3x\right)=-\left(2x+27\right), mx=4\left(2-3x\right), ny=-\left(2x+27\right), m=4 and n=-1. Apply the formula: a\frac{b}{c}=\frac{ba}{c}, where a=2x+27, b=-1 and c=4. Move everything to the left hand side of the equation.

Final answer to the problem

$x=\frac{7}{2}$

Exact Numeric Answer

$x=3.5$

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Function Plot

Plotting: $4\left(2-3x\right)+2x+27$

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7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

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