Solve 4x/10+25x/15+13/10+25/15=frac{20x}{10}

$$\frac{ 4x }{ 10 } + \frac{ 25x }{ 15 } + \frac{ 13 }{ 10 } + \frac{ 25 }{ 15 } = \frac{ 20x }{ 10 }$$

Solve for x

$$x = -\frac{89}{2} = -44\frac{1}{2} = -44.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30, the least common multiple of 10,15.

$$3\times 4x+2\times 25x+39+2\times 25=3\times 20x$$

Multiply 3 and 4 to get 12.

$$12x+2\times 25x+39+2\times 25=3\times 20x$$

Multiply 2 and 25 to get 50.

$$12x+50x+39+2\times 25=3\times 20x$$

Combine 12x and 50x to get 62x.

$$62x+39+2\times 25=3\times 20x$$

Multiply 2 and 25 to get 50.

$$62x+39+50=3\times 20x$$

Add 39 and 50 to get 89.

$$62x+89=3\times 20x$$

Multiply 3 and 20 to get 60.

$$62x+89=60x$$

Subtract 60x from both sides.

$$62x+89-60x=0$$

Combine 62x and -60x to get 2x.

$$2x+89=0$$

Subtract 89 from both sides. Anything subtracted from zero gives its negation.

$$2x=-89$$

Divide both sides by 2.

$$x=\frac{-89}{2}$$

Fraction \frac{-89}{2} can be rewritten as -\frac{89}{2} by extracting the negative sign.

$$x=-\frac{89}{2}$$