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

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

Solve for x

$$x=-\frac{4}{7}\approx -0.571428571$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by x+4.

$$3x+12=-4\left(x-2\right)$$

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

$$3x+12=-4x+8$$

Add 4x to both sides.

$$3x+12+4x=8$$

Combine 3x and 4x to get 7x.

$$7x+12=8$$

Subtract 12 from both sides.

$$7x=8-12$$

Subtract 12 from 8 to get -4.

$$7x=-4$$

Divide both sides by 7.

$$x=\frac{-4}{7}$$

Fraction \frac{-4}{7} can be rewritten as -\frac{4}{7} by extracting the negative sign.

$$x=-\frac{4}{7}$$