Solve (7x+5)*(3/4)=4*2x

$$(7x+5) \times ( \frac{ 3 }{ 4 } )=4 \times 2x$$

Solve for x

$$x = \frac{15}{11} = 1\frac{4}{11} \approx 1.363636364$$

Steps for Solving Linear Equation

Use the distributive property to multiply 7x+5 by \frac{3}{4}.

$$7x\times \frac{3}{4}+5\times \frac{3}{4}=4\times 2x$$

Express 7\times \frac{3}{4} as a single fraction.

$$\frac{7\times 3}{4}x+5\times \frac{3}{4}=4\times 2x$$

Multiply 7 and 3 to get 21.

$$\frac{21}{4}x+5\times \frac{3}{4}=4\times 2x$$

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

$$\frac{21}{4}x+\frac{5\times 3}{4}=4\times 2x$$

Multiply 5 and 3 to get 15.

$$\frac{21}{4}x+\frac{15}{4}=4\times 2x$$

Multiply 4 and 2 to get 8.

$$\frac{21}{4}x+\frac{15}{4}=8x$$

Subtract 8x from both sides.

$$\frac{21}{4}x+\frac{15}{4}-8x=0$$

Combine \frac{21}{4}x and -8x to get -\frac{11}{4}x.

$$-\frac{11}{4}x+\frac{15}{4}=0$$

Subtract \frac{15}{4} from both sides. Anything subtracted from zero gives its negation.

$$-\frac{11}{4}x=-\frac{15}{4}$$

Multiply both sides by -\frac{4}{11}, the reciprocal of -\frac{11}{4}.

$$x=-\frac{15}{4}\left(-\frac{4}{11}\right)$$

Multiply -\frac{15}{4} times -\frac{4}{11} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-15\left(-4\right)}{4\times 11}$$

Do the multiplications in the fraction \frac{-15\left(-4\right)}{4\times 11}.

$$x=\frac{60}{44}$$

Reduce the fraction \frac{60}{44} to lowest terms by extracting and canceling out 4.

$$x=\frac{15}{11}$$