Step by Step Solution
Reformatting the input :
(1): "1.5" was replaced by "(15/10)".
Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 3*x-8-(4*(x-(15/10)))=0
Step by step solution :
STEP
1
:
Simplify 3/2
Equation at the end of step
1
:
(3x - 8) - (4 • (x - 3/2)) = 0
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 2 as the denominator :
x x • 2
x = — = —————
1 2
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
x • 2 - (3) 2x - 3
——————————— = ——————
2 2
Equation at the end of step
2
:
(2x - 3)
(3x - 8) - (4 • ————————) = 0
2
STEP
3
:
Equation at the end of step
3
:
(3x - 8) - 2 • (2x - 3) = 0
STEP
4 :
Pulling out like terms : 5.1
Pull out like factors :
-x - 2 = -1 • (x + 2)
Equation at the end of step
5
: -x - 2 = 0
STEP
6
:
Solving a Single Variable Equation:
6.1
Solve : -x-2 = 0
Add 2 to both sides of the equation :
-x = 2
Multiply both sides of the equation by (-1) : x = -2
One solution was found : x = -2
