Solve 16-4(2x+1)+5(x-3/4)=0

$$16-4(2x+1)+5(x- \frac{ 3 }{ 4 } )=0$$

Solve for x

$$x = \frac{11}{4} = 2\frac{3}{4} = 2.75$$

Steps for Solving Linear Equation

Use the distributive property to multiply -4 by 2x+1.

$$16-8x-4+5\left(x-\frac{3}{4}\right)=0$$

Subtract 4 from 16 to get 12.

$$12-8x+5\left(x-\frac{3}{4}\right)=0$$

Use the distributive property to multiply 5 by x-\frac{3}{4}.

$$12-8x+5x+5\left(-\frac{3}{4}\right)=0$$

Express 5\left(-\frac{3}{4}\right) as a single fraction.

$$12-8x+5x+\frac{5\left(-3\right)}{4}=0$$

Multiply 5 and -3 to get -15.

$$12-8x+5x+\frac{-15}{4}=0$$

Fraction \frac{-15}{4} can be rewritten as -\frac{15}{4} by extracting the negative sign.

$$12-8x+5x-\frac{15}{4}=0$$

Combine -8x and 5x to get -3x.

$$12-3x-\frac{15}{4}=0$$

Convert 12 to fraction \frac{48}{4}.

$$\frac{48}{4}-3x-\frac{15}{4}=0$$

Since \frac{48}{4} and \frac{15}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{48-15}{4}-3x=0$$

Subtract 15 from 48 to get 33.

$$\frac{33}{4}-3x=0$$

Subtract \frac{33}{4} from both sides. Anything subtracted from zero gives its negation.

$$-3x=-\frac{33}{4}$$

Divide both sides by -3.

$$x=\frac{-\frac{33}{4}}{-3}$$

Express \frac{-\frac{33}{4}}{-3} as a single fraction.

$$x=\frac{-33}{4\left(-3\right)}$$

Multiply 4 and -3 to get -12.

$$x=\frac{-33}{-12}$$

Reduce the fraction \frac{-33}{-12} to lowest terms by extracting and canceling out -3.

$$x=\frac{11}{4}$$