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

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

Solve for x

$$x = -\frac{13}{12} = -1\frac{1}{12} \approx -1.083333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by 3x-1.

$$3x-4-6x+2=\frac{5}{4}$$

Combine 3x and -6x to get -3x.

$$-3x-4+2=\frac{5}{4}$$

Add -4 and 2 to get -2.

$$-3x-2=\frac{5}{4}$$

Add 2 to both sides.

$$-3x=\frac{5}{4}+2$$

Convert 2 to fraction \frac{8}{4}.

$$-3x=\frac{5}{4}+\frac{8}{4}$$

Since \frac{5}{4} and \frac{8}{4} have the same denominator, add them by adding their numerators.

$$-3x=\frac{5+8}{4}$$

Add 5 and 8 to get 13.

$$-3x=\frac{13}{4}$$

Divide both sides by -3.

$$x=\frac{\frac{13}{4}}{-3}$$

Express \frac{\frac{13}{4}}{-3} as a single fraction.

$$x=\frac{13}{4\left(-3\right)}$$

Multiply 4 and -3 to get -12.

$$x=\frac{13}{-12}$$

Fraction \frac{13}{-12} can be rewritten as -\frac{13}{12} by extracting the negative sign.

$$x=-\frac{13}{12}$$