Solve 4(2x+2.5)-3(4x-1)=5(4x-7)

$$4(2x+2.5)-3(4x-1)=5(4x-7)$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by 2x+2.5.

$$8x+10-3\left(4x-1\right)=5\left(4x-7\right)$$

Use the distributive property to multiply -3 by 4x-1.

$$8x+10-12x+3=5\left(4x-7\right)$$

Combine 8x and -12x to get -4x.

$$-4x+10+3=5\left(4x-7\right)$$

Add 10 and 3 to get 13.

$$-4x+13=5\left(4x-7\right)$$

Use the distributive property to multiply 5 by 4x-7.

$$-4x+13=20x-35$$

Subtract 20x from both sides.

$$-4x+13-20x=-35$$

Combine -4x and -20x to get -24x.

$$-24x+13=-35$$

Subtract 13 from both sides.

$$-24x=-35-13$$

Subtract 13 from -35 to get -48.

$$-24x=-48$$

Divide both sides by -24.

$$x=\frac{-48}{-24}$$

Divide -48 by -24 to get 2.

$$x=2$$