Solve 7x-3/4(x+1)=4(1-2x)

$$7 x - \frac { 3 } { 4 } ( x + 1 ) = 4 ( 1 - 2 x )$$

Solve for x

$$x=\frac{1}{3}\approx 0.333333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply -\frac{3}{4} by x+1.

$$7x-\frac{3}{4}x-\frac{3}{4}=4\left(1-2x\right)$$

Combine 7x and -\frac{3}{4}x to get \frac{25}{4}x.

$$\frac{25}{4}x-\frac{3}{4}=4\left(1-2x\right)$$

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

$$\frac{25}{4}x-\frac{3}{4}=4-8x$$

Add 8x to both sides.

$$\frac{25}{4}x-\frac{3}{4}+8x=4$$

Combine \frac{25}{4}x and 8x to get \frac{57}{4}x.

$$\frac{57}{4}x-\frac{3}{4}=4$$

Add \frac{3}{4} to both sides.

$$\frac{57}{4}x=4+\frac{3}{4}$$

Convert 4 to fraction \frac{16}{4}.

$$\frac{57}{4}x=\frac{16}{4}+\frac{3}{4}$$

Since \frac{16}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.

$$\frac{57}{4}x=\frac{16+3}{4}$$

Add 16 and 3 to get 19.

$$\frac{57}{4}x=\frac{19}{4}$$

Multiply both sides by \frac{4}{57}, the reciprocal of \frac{57}{4}.

$$x=\frac{19}{4}\times \frac{4}{57}$$

Multiply \frac{19}{4} times \frac{4}{57} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{19\times 4}{4\times 57}$$

Cancel out 4 in both numerator and denominator.

$$x=\frac{19}{57}$$

Reduce the fraction \frac{19}{57} to lowest terms by extracting and canceling out 19.

$$x=\frac{1}{3}$$