What is the answer to (1/4)(x-3)=5-x ?

The answer to (1/4)(x-3)=5-x is x= 23/5

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(1/4)(x-3)=5-x

(\frac{1}{4}) (x - 3) = 5 - x

x = \frac{23}{5}

Decimal Notation

x = 4.6

Solution steps

(\frac{1}{4}) (x - 3) = 5 - x

Expand

(\frac{1}{4}) (x - 3) : \frac{1}{4} x - \frac{3}{4}

\frac{1}{4} x - \frac{3}{4} = 5 - x

Move

\frac{3}{4}

to the right side

\frac{1}{4} x = - x + \frac{23}{4}

Move

x

to the left side

\frac{5}{4} x = \frac{23}{4}

Multiply both sides by

4

5 x = 23

Divide both sides by

5

x = \frac{23}{5}

2 + 23 i

x^{2} + 8 x - 4 = 0

- \frac{1}{2} y^{2} + \frac{9}{8}

\frac{x}{2} + \frac{x}{3} + \frac{x}{4} + \frac{x}{6} = 30

- 15 x + 60 \leq 105