Solve 6(x-60)=1.5(60+x)

$$6 ( x - 60 ) = 1.5 ( 60 + x )$$

Solve for x

$$x=100$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by x-60.

$$6x-360=1.5\left(60+x\right)$$

Use the distributive property to multiply 1.5 by 60+x.

$$6x-360=90+1.5x$$

Subtract 1.5x from both sides.

$$6x-360-1.5x=90$$

Combine 6x and -1.5x to get 4.5x.

$$4.5x-360=90$$

Add 360 to both sides.

$$4.5x=90+360$$

Add 90 and 360 to get 450.

$$4.5x=450$$

Divide both sides by 4.5.

$$x=\frac{450}{4.5}$$

Expand \frac{450}{4.5} by multiplying both numerator and the denominator by 10.

$$x=\frac{4500}{45}$$

Divide 4500 by 45 to get 100.

$$x=100$$