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

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

Solve for x

$$x=\frac{19}{36}\approx 0.527777778$$

Steps for Solving Linear Equation

To find the opposite of 3x+1, find the opposite of each term.

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

Combine 2x and -3x to get -x.

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

Use the distributive property to multiply 5 by -2x+\frac{3}{4}.

$$-x-1=-10x+5\times \frac{3}{4}$$

Express 5\times \frac{3}{4} as a single fraction.

$$-x-1=-10x+\frac{5\times 3}{4}$$

Multiply 5 and 3 to get 15.

$$-x-1=-10x+\frac{15}{4}$$

Add 10x to both sides.

$$-x-1+10x=\frac{15}{4}$$

Combine -x and 10x to get 9x.

$$9x-1=\frac{15}{4}$$

Add 1 to both sides.

$$9x=\frac{15}{4}+1$$

Convert 1 to fraction \frac{4}{4}.

$$9x=\frac{15}{4}+\frac{4}{4}$$

Since \frac{15}{4} and \frac{4}{4} have the same denominator, add them by adding their numerators.

$$9x=\frac{15+4}{4}$$

Add 15 and 4 to get 19.

$$9x=\frac{19}{4}$$

Divide both sides by 9.

$$x=\frac{\frac{19}{4}}{9}$$

Express \frac{\frac{19}{4}}{9} as a single fraction.

$$x=\frac{19}{4\times 9}$$

Multiply 4 and 9 to get 36.

$$x=\frac{19}{36}$$