Solve 7x-10/2-15/4x-3(2x-4)/8=9x+12/16-3

$$\frac { 7 x - 10 } { 2 } - \frac { 15 } { 4 } x - \frac { 3 ( 2 x - 4 ) } { 8 } = \frac { 9 x + 12 } { 16 } - 3$$

Solve for x

$$x=-\frac{4}{5}=-0.8$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 16, the least common multiple of 2,4,8,16.

$$8\left(7x-10\right)-60x-2\times 3\left(2x-4\right)=9x+12-48$$

Use the distributive property to multiply 8 by 7x-10.

$$56x-80-60x-2\times 3\left(2x-4\right)=9x+12-48$$

Combine 56x and -60x to get -4x.

$$-4x-80-2\times 3\left(2x-4\right)=9x+12-48$$

Multiply -2 and 3 to get -6.

$$-4x-80-6\left(2x-4\right)=9x+12-48$$

Use the distributive property to multiply -6 by 2x-4.

$$-4x-80-12x+24=9x+12-48$$

Combine -4x and -12x to get -16x.

$$-16x-80+24=9x+12-48$$

Add -80 and 24 to get -56.

$$-16x-56=9x+12-48$$

Subtract 48 from 12 to get -36.

$$-16x-56=9x-36$$

Subtract 9x from both sides.

$$-16x-56-9x=-36$$

Combine -16x and -9x to get -25x.

$$-25x-56=-36$$

Add 56 to both sides.

$$-25x=-36+56$$

Add -36 and 56 to get 20.

$$-25x=20$$

Divide both sides by -25.

$$x=\frac{20}{-25}$$

Reduce the fraction \frac{20}{-25} to lowest terms by extracting and canceling out 5.

$$x=-\frac{4}{5}$$