What is the answer to 3/2 (4x-3)=2[x-(4x-3)] ?

The answer to 3/2 (4x-3)=2[x-(4x-3)] is x= 7/8

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3/2 (4x-3)=2[x-(4x-3)]

\frac{3}{2} (4 x - 3) = 2 [x - (4 x - 3)]

x = \frac{7}{8}

Decimal Notation

x = 0.875

Solution steps

\frac{3}{2} (4 x - 3) = 2 [x - (4 x - 3)]

Expand

\frac{3}{2} (4 x - 3) : 6 x - \frac{9}{2}

Expand

2 (x - (4 x - 3)) : - 6 x + 6

6 x - \frac{9}{2} = - 6 x + 6

Move

\frac{9}{2}

to the right side

6 x = - 6 x + \frac{21}{2}

Move

6 x

to the left side

12 x = \frac{21}{2}

Divide both sides by

12

x = \frac{7}{8}

\frac{5 n}{3} - \frac{n}{2} + \frac{3 n}{4} - \frac{1}{7} = 0

x, 2 y = \frac{3 x - 4}{5}

170 x - 1000 = 30 (5 x - 30)

y, y (9 - x^{2}) = x

3 (x - 2) = 4 (x + 3)

What is the answer to 3/2 (4x-3)=2[x-(4x-3)] ?
The answer to 3/2 (4x-3)=2[x-(4x-3)] is x= 7/8
Solve for x: 3/2 (4x-3)=2[x-(4x-3)]
The solution is x= 7/8