Solve 5(x+3)+12x=4-7(2-x)

$$5(x+3)+12x=4-7(2-x)$$

Solve for x

$$x = -\frac{5}{2} = -2\frac{1}{2} = -2.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by x+3.

$$5x+15+12x=4-7\left(2-x\right)$$

Combine 5x and 12x to get 17x.

$$17x+15=4-7\left(2-x\right)$$

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

$$17x+15=4-14+7x$$

Subtract 14 from 4 to get -10.

$$17x+15=-10+7x$$

Subtract 7x from both sides.

$$17x+15-7x=-10$$

Combine 17x and -7x to get 10x.

$$10x+15=-10$$

Subtract 15 from both sides.

$$10x=-10-15$$

Subtract 15 from -10 to get -25.

$$10x=-25$$

Divide both sides by 10.

$$x=\frac{-25}{10}$$

Reduce the fraction \frac{-25}{10} to lowest terms by extracting and canceling out 5.

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