Solve 2(m+2.5)=4(m-0.5)

$$2 ( m + 2.5 ) = 4 ( m - 0.5 )$$

Solve for m

$$m=3.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by m+2.5.

$$2m+5=4\left(m-0.5\right)$$

Use the distributive property to multiply 4 by m-0.5.

$$2m+5=4m-2$$

Subtract 4m from both sides.

$$2m+5-4m=-2$$

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

$$-2m+5=-2$$

Subtract 5 from both sides.

$$-2m=-2-5$$

Subtract 5 from -2 to get -7.

$$-2m=-7$$

Divide both sides by -2.

$$m=\frac{-7}{-2}$$

Fraction \frac{-7}{-2} can be simplified to \frac{7}{2} by removing the negative sign from both the numerator and the denominator.

$$m=\frac{7}{2}$$