Answer:
x = -1
Step-by-step explanation:
3/4x + 3 -2x = -1/4 + 1/2x + 5
3/4x + 3 -2x = 19/4 + 1/2x
3x + 12 - 8x = 19 + 2x
-5x + 12 = 19 + 2x
-5x - 2x + 12 = 19
-7x = 19 - 12
-7x = 7
x = -1
By solving the algebraic equation [tex]\frac{3}{4}x+3-2x = -\frac{1}{4}+ \frac{1}{2}x + 5[/tex], x = -1.
Algebraic equation is statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root.
[tex]\frac{3}{4}x+3-2x = -\frac{1}{4}+ \frac{1}{2}x + 5\\\\\frac{3}{4}x-2x-\frac{1}{2}x = -\frac{1}{4}+5-3\\\\\frac{3x-8x-2x}{4} = \frac{-1+20 - 12}{4} \\\\-\frac{7x}{4} = \frac{7}{4}\\ \\ x = -1[/tex]
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