Solve 2a+3/4a-2=1

$$\frac { 2 a + 3 } { 4 a - 2 } = 1$$

Solve for a

$$a = \frac{5}{2} = 2\frac{1}{2} = 2.5$$

Steps for Solving Linear Equation

Variable a cannot be equal to \frac{1}{2} since division by zero is not defined. Multiply both sides of the equation by 2\left(2a-1\right).

$$2a+3=2\left(2a-1\right)$$

Use the distributive property to multiply 2 by 2a-1.

$$2a+3=4a-2$$

Subtract 4a from both sides.

$$2a+3-4a=-2$$

Combine 2a and -4a to get -2a.

$$-2a+3=-2$$

Subtract 3 from both sides.

$$-2a=-2-3$$

Subtract 3 from -2 to get -5.

$$-2a=-5$$

Divide both sides by -2.

$$a=\frac{-5}{-2}$$

Fraction \frac{-5}{-2} can be simplified to \frac{5}{2} by removing the negative sign from both the numerator and the denominator.

$$a=\frac{5}{2}$$