Solve 6-(2x-1)=5(3x-4)

$$6 - ( 2 x - 1 ) = 5 ( 3 x - 4 )$$

Solve for x

$$x = \frac{27}{17} = 1\frac{10}{17} \approx 1.588235294$$

Steps for Solving Linear Equation

To find the opposite of 2x-1, find the opposite of each term.

$$6-2x-\left(-1\right)=5\left(3x-4\right)$$

The opposite of -1 is 1.

$$6-2x+1=5\left(3x-4\right)$$

Add 6 and 1 to get 7.

$$7-2x=5\left(3x-4\right)$$

Use the distributive property to multiply 5 by 3x-4.

$$7-2x=15x-20$$

Subtract 15x from both sides.

$$7-2x-15x=-20$$

Combine -2x and -15x to get -17x.

$$7-17x=-20$$

Subtract 7 from both sides.

$$-17x=-20-7$$

Subtract 7 from -20 to get -27.

$$-17x=-27$$

Divide both sides by -17.

$$x=\frac{-27}{-17}$$

Fraction \frac{-27}{-17} can be simplified to \frac{27}{17} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{27}{17}$$