Solve 15x-3-(60x-3)+30=8x-9+3x

$$15 x - 3 - ( 60 x - 3 ) + 30 = 8 x - 9 + 3 x$$

Solve for x

$$x=\frac{39}{56}\approx 0.696428571$$

Steps for Solving Linear Equation

To find the opposite of 60x-3, find the opposite of each term.

$$15x-3-60x-\left(-3\right)+30=8x-9+3x$$

The opposite of -3 is 3.

$$15x-3-60x+3+30=8x-9+3x$$

Combine 15x and -60x to get -45x.

$$-45x-3+3+30=8x-9+3x$$

Add -3 and 3 to get 0.

$$-45x+30=8x-9+3x$$

Combine 8x and 3x to get 11x.

$$-45x+30=11x-9$$

Subtract 11x from both sides.

$$-45x+30-11x=-9$$

Combine -45x and -11x to get -56x.

$$-56x+30=-9$$

Subtract 30 from both sides.

$$-56x=-9-30$$

Subtract 30 from -9 to get -39.

$$-56x=-39$$

Divide both sides by -56.

$$x=\frac{-39}{-56}$$

Fraction \frac{-39}{-56} can be simplified to \frac{39}{56} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{39}{56}$$