Solve 5x+4(x+0.5)+7(3-x)=75

$$5 x + 4 ( x + 0.5 ) + 7 ( 3 - x ) = 75$$

Solve for x

$$x=26$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by x+0.5.

$$5x+4x+2+7\left(3-x\right)=75$$

Combine 5x and 4x to get 9x.

$$9x+2+7\left(3-x\right)=75$$

Use the distributive property to multiply 7 by 3-x.

$$9x+2+21-7x=75$$

Add 2 and 21 to get 23.

$$9x+23-7x=75$$

Combine 9x and -7x to get 2x.

$$2x+23=75$$

Subtract 23 from both sides.

$$2x=75-23$$

Subtract 23 from 75 to get 52.

$$2x=52$$

Divide both sides by 2.

$$x=\frac{52}{2}$$

Divide 52 by 2 to get 26.

$$x=26$$