Solve 6(x+10)=4(x+40)

$$6 ( x + 10 ) = 4 ( x + 40 )$$

Solve for x

$$x=50$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by x+10.

$$6x+60=4\left(x+40\right)$$

Use the distributive property to multiply 4 by x+40.

$$6x+60=4x+160$$

Subtract 4x from both sides.

$$6x+60-4x=160$$

Combine 6x and -4x to get 2x.

$$2x+60=160$$

Subtract 60 from both sides.

$$2x=160-60$$

Subtract 60 from 160 to get 100.

$$2x=100$$

Divide both sides by 2.

$$x=\frac{100}{2}$$

Divide 100 by 2 to get 50.

$$x=50$$