Solve x-3(4x-2)=7/2-2x

$$x - 3 ( 4 x - 2 ) = \frac { 7 } { 2 } - 2 x$$

Solve for x

$$x=\frac{5}{18}\approx 0.277777778$$

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by 4x-2.

$$x-12x+6=\frac{7}{2}-2x$$

Combine x and -12x to get -11x.

$$-11x+6=\frac{7}{2}-2x$$

Add 2x to both sides.

$$-11x+6+2x=\frac{7}{2}$$

Combine -11x and 2x to get -9x.

$$-9x+6=\frac{7}{2}$$

Subtract 6 from both sides.

$$-9x=\frac{7}{2}-6$$

Convert 6 to fraction \frac{12}{2}.

$$-9x=\frac{7}{2}-\frac{12}{2}$$

Since \frac{7}{2} and \frac{12}{2} have the same denominator, subtract them by subtracting their numerators.

$$-9x=\frac{7-12}{2}$$

Subtract 12 from 7 to get -5.

$$-9x=-\frac{5}{2}$$

Divide both sides by -9.

$$x=\frac{-\frac{5}{2}}{-9}$$

Express \frac{-\frac{5}{2}}{-9} as a single fraction.

$$x=\frac{-5}{2\left(-9\right)}$$

Multiply 2 and -9 to get -18.

$$x=\frac{-5}{-18}$$

Fraction \frac{-5}{-18} can be simplified to \frac{5}{18} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{5}{18}$$