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{y + 1}{5} - 5 = \frac{y}{2}

q - 8 = 14

\frac{3 x + 54}{6} = - 4 x

16 - x = - 6

\frac{2 w + 4}{3} = \frac{5 w - 2}{5}

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