Solve 4(x-2)+15=-7(3-2x)

$$4 ( x - 2 ) + 15 = - 7 ( 3 - 2 x )$$

Solve for x

$$x = \frac{14}{5} = 2\frac{4}{5} = 2.8$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by x-2.

$$4x-8+15=-7\left(3-2x\right)$$

Add -8 and 15 to get 7.

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

Use the distributive property to multiply -7 by 3-2x.

$$4x+7=-21+14x$$

Subtract 14x from both sides.

$$4x+7-14x=-21$$

Combine 4x and -14x to get -10x.

$$-10x+7=-21$$

Subtract 7 from both sides.

$$-10x=-21-7$$

Subtract 7 from -21 to get -28.

$$-10x=-28$$

Divide both sides by -10.

$$x=\frac{-28}{-10}$$

Reduce the fraction \frac{-28}{-10} to lowest terms by extracting and canceling out -2.

$$x=\frac{14}{5}$$