What is the answer to 3/4 (2x-1)-1/5 (5-2x)=-55/12 ?

The answer to 3/4 (2x-1)-1/5 (5-2x)=-55/12 is x=-85/57

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3/4 (2x-1)-1/5 (5-2x)=-55/12

\frac{3}{4} (2 x - 1) - \frac{1}{5} (5 - 2 x) = - \frac{55}{12}

x = - \frac{85}{57}

Decimal Notation

x = - 1.49122 \dots

Solution steps

\frac{3}{4} (2 x - 1) - \frac{1}{5} (5 - 2 x) = - \frac{55}{12}

Multiply by LCM

45 (2 x - 1) - 12 (5 - 2 x) = - 275

Expand

45 (2 x - 1) - 12 (5 - 2 x) : 114 x - 105

114 x - 105 = - 275

Move

105

to the right side

114 x = - 170

Divide both sides by

114

x = - \frac{85}{57}

x^{2} + 4 x + 36 = 0

- (n - 8) = - 2

2601

∣ 2 x - 7 ∣ < 1

4 x^{2} - 36 x + 80 = 0

What is the answer to 3/4 (2x-1)-1/5 (5-2x)=-55/12 ?
The answer to 3/4 (2x-1)-1/5 (5-2x)=-55/12 is x=-85/57
Solve for x: 3/4 (2x-1)-1/5 (5-2x)=-55/12
The solution is x=-85/57