Solve 8.9(x-3.5)+4.2(3x+2.3)=4.7x

$$8.9 ( x - 3.5 ) + 4.2 ( 3 x + 2.3 ) = 4.7 x$$

Solve for x

$$x = \frac{307}{240} = 1\frac{67}{240} \approx 1.279166667$$

Steps for Solving Linear Equation

Use the distributive property to multiply 8.9 by x-3.5.

$$8.9x-31.15+4.2\left(3x+2.3\right)=4.7x$$

Use the distributive property to multiply 4.2 by 3x+2.3.

$$8.9x-31.15+12.6x+9.66=4.7x$$

Combine 8.9x and 12.6x to get 21.5x.

$$21.5x-31.15+9.66=4.7x$$

Add -31.15 and 9.66 to get -21.49.

$$21.5x-21.49=4.7x$$

Subtract 4.7x from both sides.

$$21.5x-21.49-4.7x=0$$

Combine 21.5x and -4.7x to get 16.8x.

$$16.8x-21.49=0$$

Add 21.49 to both sides. Anything plus zero gives itself.

$$16.8x=21.49$$

Divide both sides by 16.8.

$$x=\frac{21.49}{16.8}$$

Expand \frac{21.49}{16.8} by multiplying both numerator and the denominator by 100.

$$x=\frac{2149}{1680}$$

Reduce the fraction \frac{2149}{1680} to lowest terms by extracting and canceling out 7.

$$x=\frac{307}{240}$$