Solve 2500/a=2000/(a+3)*2

$$\frac { 2500 } { a } = \frac { 2000 } { ( a + 3 ) } \times 2$$

Solve for a

$$a=5$$

Steps for Solving Linear Equation

Variable a cannot be equal to any of the values -3,0 since division by zero is not defined. Multiply both sides of the equation by a\left(a+3\right), the least common multiple of a,a+3.

$$\left(a+3\right)\times 2500=a\times 2000\times 2$$

Use the distributive property to multiply a+3 by 2500.

$$2500a+7500=a\times 2000\times 2$$

Multiply 2000 and 2 to get 4000.

$$2500a+7500=a\times 4000$$

Subtract a\times 4000 from both sides.

$$2500a+7500-a\times 4000=0$$

Combine 2500a and -a\times 4000 to get -1500a.

$$-1500a+7500=0$$

Subtract 7500 from both sides. Anything subtracted from zero gives its negation.

$$-1500a=-7500$$

Divide both sides by -1500.

$$a=\frac{-7500}{-1500}$$

Divide -7500 by -1500 to get 5.

$$a=5$$