Solve x/2-25=2(3x/4+8)

$$\frac { x } { 2 } - 25 = 2 ( \frac { 3 x } { 4 } + 8 )$$

Solve for x

$$x=-41$$

Steps for Solving Linear Equation

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

$$2x-100=8\left(\frac{3x}{4}+8\right)$$

Use the distributive property to multiply 8 by \frac{3x}{4}+8.

$$2x-100=8\times \frac{3x}{4}+64$$

Cancel out 4, the greatest common factor in 8 and 4.

$$2x-100=2\times 3x+64$$

Multiply 2 and 3 to get 6.

$$2x-100=6x+64$$

Subtract 6x from both sides.

$$2x-100-6x=64$$

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

$$-4x-100=64$$

Add 100 to both sides.

$$-4x=64+100$$

Add 64 and 100 to get 164.

$$-4x=164$$

Divide both sides by -4.

$$x=\frac{164}{-4}$$

Divide 164 by -4 to get -41.

$$x=-41$$