Solve 3(2x+14x/3)+3[2+2/3(1-5x)]+0.04=4

$$3 ( 2 x + \frac { 14 x } { 3 } ) + 3 [ 2 + \frac { 2 } { 3 } ( 1 - 5 x ) ] + 0.04 = 4$$

Solve for x

$$x=-0.404$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$9\left(2x+\frac{14x}{3}\right)+9\left(2+\frac{2}{3}\left(1-5x\right)\right)+0.12=12$$

Use the distributive property to multiply 9 by 2x+\frac{14x}{3}.

$$18x+9\times \frac{14x}{3}+9\left(2+\frac{2}{3}\left(1-5x\right)\right)+0.12=12$$

Cancel out 3, the greatest common factor in 9 and 3.

$$18x+3\times 14x+9\left(2+\frac{2}{3}\left(1-5x\right)\right)+0.12=12$$

Multiply 3 and 14 to get 42.

$$18x+42x+9\left(2+\frac{2}{3}\left(1-5x\right)\right)+0.12=12$$

Combine 18x and 42x to get 60x.

$$60x+9\left(2+\frac{2}{3}\left(1-5x\right)\right)+0.12=12$$

Use the distributive property to multiply \frac{2}{3} by 1-5x.

$$60x+9\left(2+\frac{2}{3}+\frac{2}{3}\left(-5\right)x\right)+0.12=12$$

Express \frac{2}{3}\left(-5\right) as a single fraction.

$$60x+9\left(2+\frac{2}{3}+\frac{2\left(-5\right)}{3}x\right)+0.12=12$$

Multiply 2 and -5 to get -10.

$$60x+9\left(2+\frac{2}{3}+\frac{-10}{3}x\right)+0.12=12$$

Fraction \frac{-10}{3} can be rewritten as -\frac{10}{3} by extracting the negative sign.

$$60x+9\left(2+\frac{2}{3}-\frac{10}{3}x\right)+0.12=12$$

Convert 2 to fraction \frac{6}{3}.

$$60x+9\left(\frac{6}{3}+\frac{2}{3}-\frac{10}{3}x\right)+0.12=12$$

Since \frac{6}{3} and \frac{2}{3} have the same denominator, add them by adding their numerators.

$$60x+9\left(\frac{6+2}{3}-\frac{10}{3}x\right)+0.12=12$$

Add 6 and 2 to get 8.

$$60x+9\left(\frac{8}{3}-\frac{10}{3}x\right)+0.12=12$$

Use the distributive property to multiply 9 by \frac{8}{3}-\frac{10}{3}x.

$$60x+9\times \frac{8}{3}+9\left(-\frac{10}{3}\right)x+0.12=12$$

Express 9\times \frac{8}{3} as a single fraction.

$$60x+\frac{9\times 8}{3}+9\left(-\frac{10}{3}\right)x+0.12=12$$

Multiply 9 and 8 to get 72.

$$60x+\frac{72}{3}+9\left(-\frac{10}{3}\right)x+0.12=12$$

Divide 72 by 3 to get 24.

$$60x+24+9\left(-\frac{10}{3}\right)x+0.12=12$$

Express 9\left(-\frac{10}{3}\right) as a single fraction.

$$60x+24+\frac{9\left(-10\right)}{3}x+0.12=12$$

Multiply 9 and -10 to get -90.

$$60x+24+\frac{-90}{3}x+0.12=12$$

Divide -90 by 3 to get -30.

$$60x+24-30x+0.12=12$$

Combine 60x and -30x to get 30x.

$$30x+24+0.12=12$$

Add 24 and 0.12 to get 24.12.

$$30x+24.12=12$$

Subtract 24.12 from both sides.

$$30x=12-24.12$$

Subtract 24.12 from 12 to get -12.12.

$$30x=-12.12$$

Divide both sides by 30.

$$x=\frac{-12.12}{30}$$

Expand \frac{-12.12}{30} by multiplying both numerator and the denominator by 100.

$$x=\frac{-1212}{3000}$$

Reduce the fraction \frac{-1212}{3000} to lowest terms by extracting and canceling out 12.

$$x=-\frac{101}{250}$$